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56563776 = 2632283347
BaseRepresentation
bin1101011111000…
…1100001000000
310221102201220200
43113301201000
5103440020101
65340205200
71254532653
oct327614100
9127381820
1056563776
1129a24225
1216b39800
13b945bb9
14772589a
154e74986
hex35f1840

56563776 has 84 divisors (see below), whose sum is σ = 163171632. Its totient is φ = 18733824.

The previous prime is 56563757. The next prime is 56563781. The reversal of 56563776 is 67736565.

56563776 is a `hidden beast` number, since 5 + 6 + 5 + 637 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (793800) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162835 + ... + 163181.

Almost surely, 256563776 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 56563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81585816).

56563776 is an abundant number, since it is smaller than the sum of its proper divisors (106607856).

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

56563776 is a wasteful number, since it uses less digits than its factorization.

56563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 56563776 is about 7520.8893091176. The cubic root of 56563776 is about 383.8658385490.

The spelling of 56563776 in words is "fifty-six million, five hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 283 288 347 566 576 694 849 1041 1132 1388 1698 2082 2264 2547 2776 3123 3396 4164 4528 5094 5552 6246 6792 8328 9056 10188 11104 12492 13584 16656 18112 20376 22208 24984 27168 33312 40752 49968 54336 66624 81504 98201 99936 163008 196402 199872 294603 392804 589206 785608 883809 1178412 1571216 1767618 2356824 3142432 3535236 4713648 6284864 7070472 9427296 14140944 18854592 28281888 56563776