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56501616 = 2432361839
BaseRepresentation
bin1101011110001…
…0010101110000
310221022120122110
43113202111300
5103431022431
65335005320
71254153513
oct327422560
9127276573
1056501616
1129991556
1216b09840
13b923812
14770ad7a
154e61346
hex35e2570

56501616 has 80 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 17698560.

The previous prime is 56501609. The next prime is 56501617. The reversal of 56501616 is 61610565.

56501616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×565016162 = 6384865221222912, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56501617) 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, 66925 + ... + 67763.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 256501616 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 56501616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

56501616 is an abundant number, since it is smaller than the sum of its proper divisors (98488464).

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

56501616 is a wasteful number, since it uses less digits than its factorization.

56501616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 56501616 is about 7516.7556831388. The cubic root of 56501616 is about 383.7251722771.

The spelling of 56501616 in words is "fifty-six million, five hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 488 552 732 839 976 1104 1403 1464 1678 2517 2806 2928 3356 4209 5034 5612 6712 8418 10068 11224 13424 16836 19297 20136 22448 33672 38594 40272 51179 57891 67344 77188 102358 115782 153537 154376 204716 231564 307074 308752 409432 463128 614148 818864 926256 1177117 1228296 2354234 2456592 3531351 4708468 7062702 9416936 14125404 18833872 28250808 56501616