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56133760 = 275139631
BaseRepresentation
bin1101011000100…
…0100010000000
310220121220001011
43112020202000
5103332240020
65323050304
71251062164
oct326104200
9126556034
1056133760
1129760141
1216970994
13b825257
147652ca4
154ddc35a
hex3588880

56133760 has 64 divisors (see below), whose sum is σ = 135374400. Its totient is φ = 22256640.

The previous prime is 56133757. The next prime is 56133769. The reversal of 56133760 is 6733165.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56133769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88645 + ... + 89275.

It is an arithmetic number, because the mean of its divisors is an integer number (2115225).

Almost surely, 256133760 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 56133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

56133760 is an abundant number, since it is smaller than the sum of its proper divisors (79240640).

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

56133760 is a wasteful number, since it uses less digits than its factorization.

56133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 56133760 is about 7492.2466590469. The cubic root of 56133760 is about 382.8906058649.

The spelling of 56133760 in words is "fifty-six million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 320 556 631 640 695 1112 1262 1390 2224 2524 2780 3155 4448 5048 5560 6310 8896 10096 11120 12620 17792 20192 22240 25240 40384 44480 50480 80768 87709 88960 100960 175418 201920 350836 403840 438545 701672 877090 1403344 1754180 2806688 3508360 5613376 7016720 11226752 14033440 28066880 56133760