# 32 (number)

 ← 31 32 33 →
Cardinalthirty-two
Ordinal32nd
(thirty-second)
Factorization25
Divisors1, 2, 4, 8, 16, 32
Greek numeralΛΒ´
Roman numeralXXXII
Binary1000002
Ternary10123
Octal408
Duodecimal2812

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

## In mathematics

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 = (1x2)+(1x2x3)+(1x2x3x4)

32 = (1x4)+(2x5)+(3x6)

32 = 11 + 22 + 33

## In religion

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 other fields

Thirty-two could also refer to:

## References

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.