48 (number)

Summary

48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

← 47 48 49 →
Cardinalforty-eight
Ordinal48th
(forty-eighth)
Factorization24 × 3
Divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greek numeralΜΗ´
Roman numeralXLVIII
Binary1100002
Ternary12103
Senary1206
Octal608
Duodecimal4012
Hexadecimal3016

In mathematics

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48 is a highly composite number, and a Størmer number.[1]

By a classical result of Honsberger, the number of incongruent integer-sided triangles of perimeter   is given by the equations   for even  , and   for odd  .[2]

48 is the order of full octahedral symmetry, which describes three-dimensional mirror symmetries associated with the regular octahedron and cube.

In science

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Astronomy

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In religion

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  • The prophecies of 48 Jewish prophets and 7 prophetesses[3] were recorded in the Tanakh for posterity.
  • According to the Mishnah, Torah wisdom is acquired via 48 ways (Pirkei Avoth 6:6).
  • In Buddhism, Amitabha Buddha had made 48 great vows and promises to provide ultimate salvation to countless beings through countless eons, with benefits said to be available merely by thinking about his name with Nianfo practice. He is thus hailed as "King of Buddhas" through such skillful compassion and became a popular and formal refuge figure in Pureland Buddhism.

In music

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  • Johann Sebastian Bach'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.
  • "48" is a song by Sunny Day Real Estate.
  • "48" is a song by Tyler, The Creator.
  • "Forty eight" is a song by Truckfighters on their 2007 album, Phi.
  • "48 Hour Parole" is a song by the Hollies.
  • "48 Crash" is a song by Suzi Quatro.
  • Familiar 48 is an alternative pop/rock band formerly known as Bonehead.
  • On Tool's album Ænima, there is a song named "Forty-Six & 2", the sum of which is 48.
  • AKB48 Group is a Japanese female idol group.

In sports

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  • 48 is the total number of minutes in a full NBA game.

In other fields

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Forty-eight may also refer to:

See also

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References

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  1. ^ Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ East, James; Niles, Ron (2019). "Integer polygons of given perimeter". Bulletin of the Australian Mathematical Society. 100 (1). Canberra: Australian Mathematical Society: 131–147. arXiv:1710.11245. doi:10.1017/S0004972718001612. MR 3977311. S2CID 119729735. Zbl 1420.52014.
  3. ^ "How many prophets were there and who were they? - philosophy prophecy history prophets torah the bible the prophets". Archived from the original on 2007-08-10. Retrieved 2006-07-17.
  4. ^ "Chinese Numerology: Lucky and Unlucky Numbers Meaning". My Today's Horoscope. 2019-11-09. Retrieved 2021-09-20.