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56280096 = 253421713
BaseRepresentation
bin1101011010110…
…0010000100000
310220220022210000
43112230100200
5103401430341
65330140000
71252241625
oct326542040
9126808700
1056280096
1129850084
1216a21600
13b876a42
14769034c
154e1a8b6
hex35ac420

56280096 has 60 divisors (see below), whose sum is σ = 165525822. Its totient is φ = 18759168.

The previous prime is 56280083. The next prime is 56280113. The reversal of 56280096 is 69008265.

56280096 is a `hidden beast` number, since 562 + 8 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52359696 + 3920400 = 7236^2 + 1980^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56280096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8265 + ... + 13448.

Almost surely, 256280096 is an apocalyptic number.

It is an amenable number.

56280096 is an abundant number, since it is smaller than the sum of its proper divisors (109245726).

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

56280096 is a wasteful number, since it uses less digits than its factorization.

56280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21735 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 56280096 is about 7502.0061316957. The cubic root of 56280096 is about 383.2230383796.

The spelling of 56280096 in words is "fifty-six million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 21713 43426 65139 86852 130278 173704 195417 260556 347408 390834 521112 586251 694816 781668 1042224 1172502 1563336 1758753 2084448 2345004 3126672 3517506 4690008 6253344 7035012 9380016 14070024 18760032 28140048 56280096