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56772352 = 287132437
BaseRepresentation
bin1101100010010…
…0011100000000
310221211100000201
43120210130000
5104013203402
65344454544
71256362030
oct330443400
9127740021
1056772352
112a0569aa
121701a454
13b9b9b10
14777b8c0
154eb6687
hex3624700

56772352 has 72 divisors (see below), whose sum is σ = 139531616. Its totient is φ = 22450176.

The previous prime is 56772329. The next prime is 56772371. The reversal of 56772352 is 25327765.

It is a super-2 number, since 2×567723522 = 6446199903223808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22078 + ... + 24514.

Almost surely, 256772352 is an apocalyptic number.

56772352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69765808).

56772352 is an abundant number, since it is smaller than the sum of its proper divisors (82759264).

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

56772352 is a wasteful number, since it uses less digits than its factorization.

56772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 56772352 is about 7534.7429949534. The cubic root of 56772352 is about 384.3370882651.

The spelling of 56772352 in words is "fifty-six million, seven hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2437 2912 3328 4874 5824 9748 11648 17059 19496 23296 31681 34118 38992 63362 68236 77984 126724 136472 155968 221767 253448 272944 311936 443534 506896 545888 623872 887068 1013792 1091776 1774136 2027584 2183552 3548272 4055168 4367104 7096544 8110336 14193088 28386176 56772352