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56768436 = 22324138461
BaseRepresentation
bin1101100010001…
…1011110110100
310221211010122200
43120203132310
5104013042221
65344424500
71256344434
oct330433664
9127733580
1056768436
112a053a6a
1217018130
13b9b80ba
14777a2c4
154eb5426
hex36237b4

56768436 has 36 divisors (see below), whose sum is σ = 147001764. Its totient is φ = 18460800.

The previous prime is 56768381. The next prime is 56768449. The reversal of 56768436 is 63486765.

56768436 is a `hidden beast` number, since 567 + 6 + 84 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 50979600 = 2406^2 + 7140^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 56768391 and 56768400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17755 + ... + 20706.

Almost surely, 256768436 is an apocalyptic number.

It is an amenable number.

56768436 is an abundant number, since it is smaller than the sum of its proper divisors (90233328).

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

56768436 is a wasteful number, since it uses less digits than its factorization.

56768436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38512 (or 38507 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56768436 is about 7534.4831275941. The cubic root of 56768436 is about 384.3282512251.

The spelling of 56768436 in words is "fifty-six million, seven hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 38461 76922 115383 153844 230766 346149 461532 692298 1384596 1576901 3153802 4730703 6307604 9461406 14192109 18922812 28384218 56768436