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What is 32

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

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