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56693888 = 275361137
BaseRepresentation
bin1101100001000…
…1010010000000
310221200100101122
43120101102000
5104003201023
65343051412
71255614206
oct330212200
9127610348
1056693888
112a002a59
1216ba0b68
13b9901a4
14775b076
154e9d2c8
hex3611480

56693888 has 64 divisors (see below), whose sum is σ = 117816120. Its totient is φ = 27156480.

The previous prime is 56693851. The next prime is 56693893. The reversal of 56693888 is 88839665.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41886784 + 14807104 = 6472^2 + 3848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 413756 + ... + 413892.

Almost surely, 256693888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58908060).

56693888 is an abundant number, since it is smaller than the sum of its proper divisors (61122232).

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

56693888 is a wasteful number, since it uses less digits than its factorization.

56693888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 53.

The square root of 56693888 is about 7529.5343813545. The cubic root of 56693888 is about 384.1599449440.

The spelling of 56693888 in words is "fifty-six million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 137 212 244 274 424 488 548 848 976 1096 1696 1952 2192 3233 3392 3904 4384 6466 6784 7261 7808 8357 8768 12932 14522 16714 17536 25864 29044 33428 51728 58088 66856 103456 116176 133712 206912 232352 267424 413824 442921 464704 534848 885842 929408 1069696 1771684 3543368 7086736 14173472 28346944 56693888