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56686356 = 22321977993
BaseRepresentation
bin1101100000111…
…1011100010100
310221122222001200
43120033130110
5104002430411
65342552500
71255553226
oct330173424
9127588050
1056686356
1129aa8331
1216b98730
13b98992c
147758416
154e9ae56
hex360f714

56686356 has 36 divisors (see below), whose sum is σ = 144035892. Its totient is φ = 18797184.

The previous prime is 56686349. The next prime is 56686361. The reversal of 56686356 is 65368665.

56686356 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 635 + 6 = 666.

56686356 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 32832900 + 23853456 = 5730^2 + 4884^2 .

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

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, 3096 + ... + 11088.

It is an arithmetic number, because the mean of its divisors is an integer number (4000997).

Almost surely, 256686356 is an apocalyptic number.

It is an amenable number.

56686356 is an abundant number, since it is smaller than the sum of its proper divisors (87349536).

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

56686356 is a wasteful number, since it uses less digits than its factorization.

56686356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8195 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 56686356 is about 7529.0342010114. The cubic root of 56686356 is about 384.1429318176.

The spelling of 56686356 in words is "fifty-six million, six hundred eighty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 7993 15986 23979 31972 47958 71937 95916 143874 287748 1574621 3149242 4723863 6298484 9447726 14171589 18895452 28343178 56686356