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56131712 = 277136179
BaseRepresentation
bin1101011000100…
…0000010000000
310220121210020022
43112020002000
5103332203322
65323033012
71251053210
oct326100200
9126553208
1056131712
112975964a
121696b768
13b824340
147652240
154ddb942
hex3588080

56131712 has 128 divisors (see below), whose sum is σ = 141657600. Its totient is φ = 21565440.

The previous prime is 56131709. The next prime is 56131741. The reversal of 56131712 is 21713165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710489 + ... + 710567.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 256131712 is an apocalyptic number.

56131712 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 56131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828800).

56131712 is an abundant number, since it is smaller than the sum of its proper divisors (85525888).

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

56131712 is a wasteful number, since it uses less digits than its factorization.

56131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 56131712 is about 7492.1099831756. The cubic root of 56131712 is about 382.8859493118.

Adding to 56131712 its reverse (21713165), we get a palindrome (77844877).

The spelling of 56131712 in words is "fifty-six million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 79 91 104 112 122 128 158 182 208 224 244 316 364 416 427 448 488 553 632 728 793 832 854 896 976 1027 1106 1264 1456 1586 1664 1708 1952 2054 2212 2528 2912 3172 3416 3904 4108 4424 4819 5056 5551 5824 6344 6832 7189 7808 8216 8848 9638 10112 11102 11648 12688 13664 14378 16432 17696 19276 22204 25376 27328 28756 32864 33733 35392 38552 44408 50752 54656 57512 62647 65728 67466 70784 77104 88816 101504 115024 125294 131456 134932 154208 177632 230048 250588 269864 308416 355264 438529 460096 501176 539728 616832 710528 877058 920192 1002352 1079456 1754116 2004704 2158912 3508232 4009408 4317824 7016464 8018816 14032928 28065856 56131712