32 (number)

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← 31 32 33 →
Cardinalthirty-two
Ordinal32nd
(thirty-second)
Factorization25
Divisors1, 2, 4, 8, 16, 32
Greek numeralΛΒ´
Roman numeralXXXII
Binary1000002
Ternary10123
Quaternary2004
Quinary1125
Senary526
Octal408
Duodecimal2812
Hexadecimal2016
Vigesimal1C20
Base 36W36

32 (thirty-two) is the natural number following 31 and preceding 33.

In mathematics[edit]

32 is the smallest number n with exactly 7 solutions to the equation φ(x) = n. It is also the sum of the totient function for the first ten integers.

The fifth power of two, 32 is also a Leyland number since 24 + 42 = 32.[1]

32 is the ninth happy number.[2]

32 = 11 + 22 + 33

In science[edit]

Astronomy[edit]

In music[edit]

In religion[edit]

In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom. This is, in turn, derived from the 32 times of the Hebrew names for God, Elohim appears in the first chapter of Genesis.

One of the central texts of the Pāli Canon in the Theravada Buddhist tradition, the Digha Nikaya, describes the appearance of the historical Buddha with a list of 32 physical characteristics.

The Hindu scripture Mudgala Purana also describes Ganesha as taking 32 forms.

In sports[edit]

  • In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.
  • The number of teams in the National Football League.
  • In association football:
    • The FIFA World Cup final tournament has featured 32 men's national teams from 1998 through 2022, after which the field will expand to 48.
    • The FIFA Women's World Cup final tournament will feature 32 national teams starting with the next edition in 2023.
    • The ball used in association football is most often made with 32 panels of leather or synthetic material.

In other fields[edit]

Thirty-two could also refer to:

References[edit]

  1. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.