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56160288 = 25321091789
BaseRepresentation
bin1101011000111…
…1000000100000
310220200020102200
43112033000200
5103334112123
65323413200
71251232422
oct326170040
9126606380
1056160288
1129779068
1216984200
13b834352
14765c812
154de5143
hex358f020

56160288 has 72 divisors (see below), whose sum is σ = 161261100. Its totient is φ = 18537984.

The previous prime is 56160281. The next prime is 56160301. The reversal of 56160288 is 88206165.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 7551504 = 6972^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56160281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30498 + ... + 32286.

Almost surely, 256160288 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 56160288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80630550).

56160288 is an abundant number, since it is smaller than the sum of its proper divisors (105100812).

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

56160288 is a wasteful number, since it uses less digits than its factorization.

56160288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 56160288 is about 7494.0168134319. The cubic root of 56160288 is about 382.9509125463.

The spelling of 56160288 in words is "fifty-six million, one hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1789 1962 2616 3488 3578 3924 5232 5367 7156 7848 10464 10734 14312 15696 16101 21468 28624 31392 32202 42936 57248 64404 85872 128808 171744 195001 257616 390002 515232 585003 780004 1170006 1560008 1755009 2340012 3120016 3510018 4680024 6240032 7020036 9360048 14040072 18720096 28080144 56160288