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56657016 = 23331320177
BaseRepresentation
bin1101100000100…
…0010001111000
310221121110211000
43120020101320
5104001011031
65342205000
71255401543
oct330102170
9127543730
1056657016
1129a88289
1216b83760
13b979480
14774b85a
154e923e6
hex3608478

56657016 has 64 divisors (see below), whose sum is σ = 169495200. Its totient is φ = 17432064.

The previous prime is 56657011. The next prime is 56657023. The reversal of 56657016 is 61075665.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56657011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7281 + ... + 12896.

Almost surely, 256657016 is an apocalyptic number.

It is an amenable number.

56657016 is an abundant number, since it is smaller than the sum of its proper divisors (112838184).

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

56657016 is a wasteful number, since it uses less digits than its factorization.

56657016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20205 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56657016 is about 7527.0854917425. The cubic root of 56657016 is about 384.0766448572.

The spelling of 56657016 in words is "fifty-six million, six hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 20177 40354 60531 80708 121062 161416 181593 242124 262301 363186 484248 524602 544779 726372 786903 1049204 1089558 1452744 1573806 2098408 2179116 2360709 3147612 4358232 4721418 6295224 7082127 9442836 14164254 18885672 28328508 56657016