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56685924 = 22323742557
BaseRepresentation
bin1101100000111…
…1010101100100
310221122221110200
43120033111210
5104002422144
65342550500
71255552041
oct330172544
9127587420
1056685924
1129aa7a79
1216b98430
13b989689
1477581c8
154e9ac69
hex360f564

56685924 has 36 divisors (see below), whose sum is σ = 147165564. Its totient is φ = 18384192.

The previous prime is 56685917. The next prime is 56685983. The reversal of 56685924 is 42958665.

56685924 is a `hidden beast` number, since 56 + 6 + 8 + 592 + 4 = 666.

56685924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54022500 + 2663424 = 7350^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56685924.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19947 + ... + 22610.

Almost surely, 256685924 is an apocalyptic number.

It is an amenable number.

56685924 is an abundant number, since it is smaller than the sum of its proper divisors (90479640).

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

56685924 is a wasteful number, since it uses less digits than its factorization.

56685924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42599 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56685924 is about 7529.0055120182. The cubic root of 56685924 is about 384.1419559792.

The spelling of 56685924 in words is "fifty-six million, six hundred eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 42557 85114 127671 170228 255342 383013 510684 766026 1532052 1574609 3149218 4723827 6298436 9447654 14171481 18895308 28342962 56685924