0032

32 is the fifth power of two ( 2 5 {\displaystyle 2^{5}}), making it the first non-unitary fifth-power of the form p 5 {\displaystyle p^{5}} where p {\displaystyle p} is prime. 32 is the totient summatory function Φ ( n ) {\displaystyle \Phi (n)} over the first 10 integers, and the smallest number n {\displaystyle n} with exactly 7 solutions for φ ( n ) {\displaystyle \varphi (n)}. The aliquot sum of a power of two is always one less than the number itself, therefore the aliquot sum of 32 is 31