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56549952 = 2632313167
BaseRepresentation
bin1101011110111…
…0001001000000
310221102000221200
43113232021000
5103434044302
65340021200
71254444444
oct327561100
9127360850
1056549952
1129a148a8
1216b31800
13b93c814
147720824
154e7081c
hex35ee240

56549952 has 84 divisors (see below), whose sum is σ = 167371776. Its totient is φ = 18236160.

The previous prime is 56549917. The next prime is 56549957. The reversal of 56549952 is 25994565.

It is a happy number.

56549952 is a `hidden beast` number, since 56 + 549 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56549898 and 56549907.

It is not an unprimeable number, because it can be changed into a prime (56549957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16273 + ... + 19439.

Almost surely, 256549952 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 56549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685888).

56549952 is an abundant number, since it is smaller than the sum of its proper divisors (110821824).

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

56549952 is a wasteful number, since it uses less digits than its factorization.

56549952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3203 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 56549952 is about 7519.9702127070. The cubic root of 56549952 is about 383.8345641534.

The spelling of 56549952 in words is "fifty-six million, five hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 3167 4464 5952 6334 8928 9501 12668 17856 19002 25336 28503 38004 50672 57006 76008 98177 101344 114012 152016 196354 202688 228024 294531 304032 392708 456048 589062 608064 785416 883593 912096 1178124 1570832 1767186 1824192 2356248 3141664 3534372 4712496 6283328 7068744 9424992 14137488 18849984 28274976 56549952