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56649888 = 2533173379
BaseRepresentation
bin1101100000011…
…0100010100000
310221121010001000
43120012202200
5104000244023
65342112000
71255342011
oct330064240
9127533030
1056649888
1129a82999
1216b7b600
13b976159
147749008
154e90243
hex36068a0

56649888 has 96 divisors (see below), whose sum is σ = 166622400. Its totient is φ = 18724608.

The previous prime is 56649871. The next prime is 56649889. The reversal of 56649888 is 88894665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56649889) 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, 149283 + ... + 149661.

It is an arithmetic number, because the mean of its divisors is an integer number (1735650).

Almost surely, 256649888 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 56649888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83311200).

56649888 is an abundant number, since it is smaller than the sum of its proper divisors (109972512).

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

56649888 is a wasteful number, since it uses less digits than its factorization.

56649888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 56649888 is about 7526.6119868105. The cubic root of 56649888 is about 384.0605373308.

The spelling of 56649888 in words is "fifty-six million, six hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 379 432 519 692 758 864 1038 1137 1384 1516 1557 2076 2274 2768 3032 3114 3411 4152 4548 4671 5536 6064 6228 6822 8304 9096 9342 10233 12128 12456 13644 16608 18192 18684 20466 24912 27288 36384 37368 40932 49824 54576 65567 74736 81864 109152 131134 149472 163728 196701 262268 327456 393402 524536 590103 786804 1049072 1180206 1573608 1770309 2098144 2360412 3147216 3540618 4720824 6294432 7081236 9441648 14162472 18883296 28324944 56649888