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56631552 = 283193881
BaseRepresentation
bin1101100000001…
…0000100000000
310221120011212220
43120002010000
5103444202202
65341451040
71255234365
oct330020400
9127504786
1056631552
1129a7013a
1216b70a80
13b96a9c3
14774246c
154e89abc
hex3602100

56631552 has 72 divisors (see below), whose sum is σ = 158696160. Its totient is φ = 17879040.

The previous prime is 56631551. The next prime is 56631557. The reversal of 56631552 is 25513665.

It is not an unprimeable number, because it can be changed into a prime (56631551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12652 + ... + 16532.

Almost surely, 256631552 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 56631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79348080).

56631552 is an abundant number, since it is smaller than the sum of its proper divisors (102064608).

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

56631552 is a wasteful number, since it uses less digits than its factorization.

56631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3905 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 56631552 is about 7525.3938102933. The cubic root of 56631552 is about 384.0190962726.

The spelling of 56631552 in words is "fifty-six million, six hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 3881 4864 7296 7762 11643 14592 15524 23286 31048 46572 62096 73739 93144 124192 147478 186288 221217 248384 294956 372576 442434 496768 589912 745152 884868 993536 1179824 1490304 1769736 2359648 2980608 3539472 4719296 7078944 9438592 14157888 18877184 28315776 56631552