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56626965 = 335419459
BaseRepresentation
bin1101100000000…
…0111100010101
310221112221121000
43120000330111
5103444030330
65341413513
71255215123
oct330007425
9127487530
1056626965
1129a6774a
1216b6a299
13b9688a5
147740913
154e88560
hex3600f15

56626965 has 16 divisors (see below), whose sum is σ = 100670400. Its totient is φ = 30200976.

The previous prime is 56626957. The next prime is 56626979. The reversal of 56626965 is 56962665.

56626965 is a `hidden beast` number, since 566 + 26 + 9 + 65 = 666.

It is not a de Polignac number, because 56626965 - 23 = 56626957 is a prime.

It is a super-2 number, since 2×566269652 = 6413226330222450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56626965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209595 + ... + 209864.

It is an arithmetic number, because the mean of its divisors is an integer number (6291900).

Almost surely, 256626965 is an apocalyptic number.

It is an amenable number.

56626965 is a deficient number, since it is larger than the sum of its proper divisors (44043435).

56626965 is a wasteful number, since it uses less digits than its factorization.

56626965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419473 (or 419467 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 56626965 is about 7525.0890360181. The cubic root of 56626965 is about 384.0087278290.

The spelling of 56626965 in words is "fifty-six million, six hundred twenty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 419459 1258377 2097295 3775131 6291885 11325393 18875655 56626965