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56464056 = 23321171293
BaseRepresentation
bin1101011101100…
…1001010111000
310221020200010100
43113121022320
5103423322211
65334115400
71253636145
oct327311270
9127220110
1056464056
1129966310
1216aabb60
13b90c6ac
1476db3cc
154e55156
hex35d92b8

56464056 has 48 divisors (see below), whose sum is σ = 166827960. Its totient is φ = 17110080.

The previous prime is 56464039. The next prime is 56464063. The reversal of 56464056 is 65046465.

It is a happy number.

56464056 is a `hidden beast` number, since 5 + 6 + 4 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×564640562 = 6376379239942272, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 56464056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34855 + ... + 36438.

Almost surely, 256464056 is an apocalyptic number.

It is an amenable number.

56464056 is an abundant number, since it is smaller than the sum of its proper divisors (110363904).

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

56464056 is a wasteful number, since it uses less digits than its factorization.

56464056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71316 (or 71309 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56464056 is about 7514.2568494829. The cubic root of 56464056 is about 383.6401250794.

It can be divided in two parts, 564 and 64056, that added together give a triangular number (64620 = T359).

The spelling of 56464056 in words is "fifty-six million, four hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 71293 142586 213879 285172 427758 570344 641637 784223 855516 1283274 1568446 1711032 2352669 2566548 3136892 4705338 5133096 6273784 7058007 9410676 14116014 18821352 28232028 56464056