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56531232 = 25321910331
BaseRepresentation
bin1101011110100…
…1100100100000
310221101002021100
43113221210200
5103432444412
65335354400
71254336042
oct327514440
9127332240
1056531232
1129a0182a
1216b22a00
13b934144
147717a92
154e69edc
hex35e9920

56531232 has 72 divisors (see below), whose sum is σ = 169238160. Its totient is φ = 17850240.

The previous prime is 56531219. The next prime is 56531249. The reversal of 56531232 is 23213565.

56531232 is a `hidden beast` number, since 5 + 653 + 1 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 56531196 and 56531205.

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, 307 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 256531232 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 56531232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84619080).

56531232 is an abundant number, since it is smaller than the sum of its proper divisors (112706928).

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

56531232 is a wasteful number, since it uses less digits than its factorization.

56531232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 10355 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 56531232 is about 7518.7254239000. The cubic root of 56531232 is about 383.7922052842.

Adding to 56531232 its reverse (23213565), we get a palindrome (79744797).

The spelling of 56531232 in words is "fifty-six million, five hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 10331 20662 30993 41324 61986 82648 92979 123972 165296 185958 196289 247944 330592 371916 392578 495888 588867 743832 785156 991776 1177734 1487664 1570312 1766601 2355468 2975328 3140624 3533202 4710936 6281248 7066404 9421872 14132808 18843744 28265616 56531232