32 (number)

← 31 32 33 →
← 30 31 32 33 34 35 36 37 38 39 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	thirty-two
Ordinal	32nd (thirty-second)
Factorization	25
Divisors	1, 2, 4, 8, 16, 32
Roman numeral	XXXII
Binary	1000002
Ternary	10123
Quaternary	2004
Quinary	1125
Senary	526
Octal	408
Duodecimal	2812
Hexadecimal	2016
Vigesimal	1C20
Base 36	W36

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

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.

As with every power of two, 32 has an aliquot sum one less than itself: the prime 31. 32 is the first member of the 31-aliquot tree.

32 is the ninth happy number.

32 = 1¹ + 2² + 3³

In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom.

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 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 jersey number 32 has been retired by several North American sports teams in honor of past playing greats:

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