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56779056 = 2434193227
BaseRepresentation
bin1101100010011…
…0000100110000
310221211200020000
43120212010300
5104013412211
65344550000
71256420415
oct330460460
9127750200
1056779056
112a060a44
1217022300
13b9bcb99
14778010c
154eb8656
hex3626130

56779056 has 100 divisors (see below), whose sum is σ = 165914232. Its totient is φ = 18745344.

The previous prime is 56779027. The next prime is 56779057. The reversal of 56779056 is 65097765.

It is a happy number.

It is a super-2 number, since 2×567790562 = 6447722400502272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56779057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250015 + ... + 250241.

Almost surely, 256779056 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 56779056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82957116).

56779056 is an abundant number, since it is smaller than the sum of its proper divisors (109135176).

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

56779056 is a wasteful number, since it uses less digits than its factorization.

56779056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56779056 is about 7535.1878543272. The cubic root of 56779056 is about 384.3522159011.

The spelling of 56779056 in words is "fifty-six million, seven hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 227 324 386 432 454 579 648 681 772 908 1158 1296 1362 1544 1737 1816 2043 2316 2724 3088 3474 3632 4086 4632 5211 5448 6129 6948 8172 9264 10422 10896 12258 13896 15633 16344 18387 20844 24516 27792 31266 32688 36774 41688 43811 49032 62532 73548 83376 87622 98064 125064 131433 147096 175244 250128 262866 294192 350488 394299 525732 700976 788598 1051464 1182897 1577196 2102928 2365794 3154392 3548691 4731588 6308784 7097382 9463176 14194764 18926352 28389528 56779056