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56856636 = 223217611523
BaseRepresentation
bin1101100011100…
…1000000111100
310221222121122100
43120321000330
5104023403021
65350345100
71260162534
oct330710074
9127877570
1056856636
112a104261
121705b190
13ba192a5
1477a04c4
154ed1626
hex363903c

56856636 has 72 divisors (see below), whose sum is σ = 154771344. Its totient is φ = 17533440.

The previous prime is 56856601. The next prime is 56856649. The reversal of 56856636 is 63665865.

56856636 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 6 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56856591 and 56856600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36571 + ... + 38093.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 256856636 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 56856636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

56856636 is an abundant number, since it is smaller than the sum of its proper divisors (97914708).

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

56856636 is a wasteful number, since it uses less digits than its factorization.

56856636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

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

The square root of 56856636 is about 7540.3339448595. Note that the first 3 decimals coincide. The cubic root of 56856636 is about 384.5271893079.

It can be divided in two parts, 5685 and 6636, that added together give a palindrome (12321).

The spelling of 56856636 in words is "fifty-six million, eight hundred fifty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 1523 2074 2196 3046 3111 4148 4569 6092 6222 9138 9333 12444 13707 18276 18666 25891 27414 37332 51782 54828 77673 92903 103564 155346 185806 233019 278709 310692 371612 466038 557418 836127 932076 1114836 1579351 1672254 3158702 3344508 4738053 6317404 9476106 14214159 18952212 28428318 56856636