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56965657 = 717229971
BaseRepresentation
bin1101100101001…
…1101000011001
310222012011012011
43121103220121
5104040400112
65352545521
71261125430
oct331235031
9128164164
1056965657
112a179161
12170b22a1
13ba56ab8
1477cc117
155003aa7
hex3653a19

56965657 has 24 divisors (see below), whose sum is σ = 71616960. Its totient is φ = 44325120.

The previous prime is 56965633. The next prime is 56965661. The reversal of 56965657 is 75656965.

It is a happy number.

56965657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56965657 - 27 = 56965529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56965657.

It is not an unprimeable number, because it can be changed into a prime (56965627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58182 + ... + 59152.

It is an arithmetic number, because the mean of its divisors is an integer number (2984040).

Almost surely, 256965657 is an apocalyptic number.

It is an amenable number.

56965657 is a deficient number, since it is larger than the sum of its proper divisors (14651303).

56965657 is a wasteful number, since it uses less digits than its factorization.

56965657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1024 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 49.

The square root of 56965657 is about 7547.5596718410. The cubic root of 56965657 is about 384.7728057431.

The spelling of 56965657 in words is "fifty-six million, nine hundred sixty-five thousand, six hundred fifty-seven".

Divisors: 1 7 17 29 119 203 289 493 971 2023 3451 6797 8381 16507 28159 58667 115549 197113 280619 478703 1964333 3350921 8137951 56965657