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56751936 = 2631947331
BaseRepresentation
bin1101100001111…
…1011101000000
310221210022000120
43120133131000
5104012030221
65344220240
71256245353
oct330373500
9127708016
1056751936
112a04262a
121700a680
13b9b0737
14777429a
154eb05c6
hex361f740

56751936 has 112 divisors (see below), whose sum is σ = 161909760. Its totient is φ = 17487360.

The previous prime is 56751931. The next prime is 56751953. The reversal of 56751936 is 63915765.

It is a happy number.

56751936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56751931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171291 + ... + 171621.

Almost surely, 256751936 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 56751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954880).

56751936 is an abundant number, since it is smaller than the sum of its proper divisors (105157824).

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

56751936 is a wasteful number, since it uses less digits than its factorization.

56751936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 56751936 is about 7533.3880823969. The cubic root of 56751936 is about 384.2910120415.

The spelling of 56751936 in words is "fifty-six million, seven hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 331 376 456 564 608 662 752 893 912 993 1128 1216 1324 1504 1786 1824 1986 2256 2648 2679 3008 3572 3648 3972 4512 5296 5358 6289 7144 7944 9024 10592 10716 12578 14288 15557 15888 18867 21184 21432 25156 28576 31114 31776 37734 42864 46671 50312 57152 62228 63552 75468 85728 93342 100624 124456 150936 171456 186684 201248 248912 295583 301872 373368 402496 497824 591166 603744 746736 886749 995648 1182332 1207488 1493472 1773498 2364664 2986944 3546996 4729328 7093992 9458656 14187984 18917312 28375968 56751936