Forty-eight is the double factorial of 6, four dozens, a highly composite number, a 17- gonal numberIn mathematics, a polygonal number is a number that can be arranged as a regular polygon. Ancient mathematicians discovered that numbers could be arranged in certain ways when they were represented by pebbles or seeds. The number 10, for example, can be a and a Harshad numberA Harshad number or Niven number is an integer that is divisible by the sum of its digits in a given number base. The Niven numbers take their name from Ivan M. Niven from a paper delivered at a conference on number theory in 1997. All numbers between zer.

There are 11 solutions to the equation φIn number theory, the totient φ n of a positive integer n is defined to be the number of positive integers less than or equal to n and coprime to n''. For example, φ(8) 4 since the four numbers 1, 3, 5 and 7 are coprime to 8. The function φ so(x) = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient numberA highly totient number ''k is an integer that has more solutions to the equation φ x k where φ is Euler's totient function, than any integer below it. The first few highly totient numbers are 1, 2, 4, 8, 12, 24, 48, 72, 144, 240, 432, 480, 576, 7.

2 In other fields

Forty-eight is also:

the atomic numberThe atomic number Z is a term used in chemistry and physics to represent the number of protons found in the nucleus of an atom. In an atom of neutral charge, the number of electrons typically equals the atomic number. The atomic number originally meant th of cadmiumCadmium is a chemical element in the periodic table that has the symbol Cd and atomic number 48. A relatively rare, soft, bluish-white, toxic transition metal, cadmium occurs with zinc ores and is used largely in batteries. Notable characteristics Cadmium.
twice the total number of major and minor keys in the Western tonal music ( twenty-four), not counting enharmonic equivalents. Johann Sebastian BachJohann Sebastian Bach ( March 21, 1685 July 28, 1750) was a German composer and organist of the Baroque period, and is almost universally regarded as one of the greatest composers of all time. His works, noted for their intellectual depth, technical comma's Well-Tempered Clavier is informally known as The Forty-Eight because it consists of a prelude and a fugue in each major and minor key, for a total of forty-eight pieces.
the number of constellations counted by Ptolemy.
the code for international direct dial phone calls to Poland.
the model number of the HP-48 S/SX/G/GX/G+/GII
the number of hours in two days, and hence also part of the title of the movies 48 Hrs. and Another 48 Hrs., starring Eddie Murphy and Nick Nolte.
the years AD 48, 48 BC, or 1948.

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Topics: 48 (number), 481 BC, 48 BC, 480s, 481, 489, 482, 483, 484...

481 BCCenturies: 6th century BC 5th century BC 4th century BC Decades: 530s BC 520s BC 510s BC 500s BC 490s BC 480s BC 470s BC 460s BC 450s BC 440s BC 430s BC Years: 486 BC 485 BC 484 BC 483 BC 482 BC 481 BC 480 BC 479 BC 478 BC 477 BC 476 BC Births Protagoras	48 BCCenturies: 2nd century BC 1st century BC 1st century Decades: 90s BC 80s BC 70s BC 60s BC 50s BC 40s BC 30s BC 20s BC 10s BC 0s BC 0s Years: 53 BC 52 BC 51 BC 50 BC 49 BC 48 BC 47 BC 46 BC 45 BC 44 BC 43 BC Events July 10 Roman Civil War: Battle of Dyrrha	480Events Odoacer defeats an attempt by Julius Nepos to recapture Italy, and has Julius killed; Odoacer also captured Dalmatia. Narasimhagupta Baladitya succeeds his father Skandagupta as ruler of the Gupta Empire Births Anicius Manlius Severinus Boethius, C
480sCenturies: 4th century 5th century 6th century Decades: 430s 440s 450s 460s 470s 480s 490s 500s 510s 520s 530s Years: 480 481 482 483 484 485 486 487 488 489 490 Events 480s.	48Alternate uses, see Number 48 Centuries: 1st century BC 1st century 2nd century Decades: 0s BC 0s 10s 20s 30s 40s 50s 60s 70s 80s 90s Years: 43 44 45 46 47 48 49 50 51 52 53 Events Roman Emperor Claudius invests Agrippa II with the office of superintenden	481Events Clovis I becomes king of the Franks upon the death of Childeric I (or 482) Baekje, Silla, and Daegaya form an alliance against Goguryeo. Births Deaths Theodoric Starbo, Ostrogothic chieftain 481.
489	482	483
484	485	486
487	488	480s BC

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