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82007432 = 23134211873
BaseRepresentation
bin1001110001101…
…01010110001000
312201022102001022
410320311112020
5131443214212
612045412012
72014023503
oct470652610
9181272038
1082007432
1142322441
122356a008
1313cb4010
14ac6a13a
1572ed772
hex4e35588

82007432 has 32 divisors (see below), whose sum is σ = 166073880. Its totient is φ = 37739520.

The previous prime is 82007423. The next prime is 82007449. The reversal of 82007432 is 23470028.

It can be written as a sum of positive squares in 4 ways, for example, as 7806436 + 74200996 = 2794^2 + 8614^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42848 + ... + 44720.

Almost surely, 282007432 is an apocalyptic number.

It is an amenable number.

82007432 is an abundant number, since it is smaller than the sum of its proper divisors (84066448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82007432 is a wasteful number, since it uses less digits than its factorization.

82007432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 82007432 is about 9055.7954923905. The cubic root of 82007432 is about 434.4612734594.

The spelling of 82007432 in words is "eighty-two million, seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 421 842 1684 1873 3368 3746 5473 7492 10946 14984 21892 24349 43784 48698 97396 194792 788533 1577066 3154132 6308264 10250929 20501858 41003716 82007432