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56837376 = 28342741
BaseRepresentation
bin1101100011010…
…0010100000000
310221221122020000
43120310110000
5104022244001
65350120000
71260052431
oct330642400
9127848200
1056837376
112a0a0842
1217050000
13ba105ab
147797488
154ecaa86
hex3634500

56837376 has 90 divisors (see below), whose sum is σ = 169540602. Its totient is φ = 18938880.

The previous prime is 56837371. The next prime is 56837377. The reversal of 56837376 is 67373865.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 12960000 = 6624^2 + 3600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56837371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19366 + ... + 22106.

Almost surely, 256837376 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 56837376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84770301).

56837376 is an abundant number, since it is smaller than the sum of its proper divisors (112703226).

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

56837376 is an equidigital number, since it uses as much as digits as its factorization.

56837376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2746 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 56837376 is about 7539.0567049201. The cubic root of 56837376 is about 384.4837652939.

The spelling of 56837376 in words is "fifty-six million, eight hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2741 3456 5184 5482 6912 8223 10368 10964 16446 20736 21928 24669 32892 43856 49338 65784 74007 87712 98676 131568 148014 175424 197352 222021 263136 296028 350848 394704 444042 526272 592056 701696 789408 888084 1052544 1184112 1578816 1776168 2105088 2368224 3157632 3552336 4736448 6315264 7104672 9472896 14209344 18945792 28418688 56837376