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32 (number)
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. 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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