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56137104 = 2433199653
BaseRepresentation
bin1101011000100…
…1010110010000
310220122001122000
43112021112100
5103332341404
65323114000
71251105012
oct326112620
9126561560
1056137104
1129762701
1216972900
13b82692a
1476541b2
154ddd339
hex3589590

56137104 has 80 divisors (see below), whose sum is σ = 162192000. Its totient is φ = 18589824.

The previous prime is 56137079. The next prime is 56137117. The reversal of 56137104 is 40173165.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85642 + ... + 86294.

It is an arithmetic number, because the mean of its divisors is an integer number (2027400).

Almost surely, 256137104 is an apocalyptic number.

56137104 is a gapful number since it is divisible by the number (54) 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 56137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81096000).

56137104 is an abundant number, since it is smaller than the sum of its proper divisors (106054896).

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

56137104 is a wasteful number, since it uses less digits than its factorization.

56137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56137104 is about 7492.4698197590. The cubic root of 56137104 is about 382.8982088995.

The spelling of 56137104 in words is "fifty-six million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 653 796 1194 1306 1592 1791 1959 2388 2612 3184 3582 3918 4776 5224 5373 5877 7164 7836 9552 10448 10746 11754 14328 15672 17631 21492 23508 28656 31344 35262 42984 47016 70524 85968 94032 129947 141048 259894 282096 389841 519788 779682 1039576 1169523 1559364 2079152 2339046 3118728 3508569 4678092 6237456 7017138 9356184 14034276 18712368 28068552 56137104