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56928384 = 273249417
BaseRepresentation
bin1101100100101…
…0100010000000
310222010021001200
43121022202000
5104033202014
65352101200
71260611652
oct331124200
9128107050
1056928384
112a153157
1217094800
13ba42b46
1477bc6d2
154ee7a09
hex364a880

56928384 has 48 divisors (see below), whose sum is σ = 163820670. Its totient is φ = 18975744.

The previous prime is 56928373. The next prime is 56928419. The reversal of 56928384 is 48382965.

56928384 is a `hidden beast` number, since 569 + 2 + 8 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 22353984 = 5880^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23557 + ... + 25860.

Almost surely, 256928384 is an apocalyptic number.

It is an amenable number.

56928384 is an abundant number, since it is smaller than the sum of its proper divisors (106892286).

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

56928384 is a wasteful number, since it uses less digits than its factorization.

56928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49437 (or 49422 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 56928384 is about 7545.0900591047. The cubic root of 56928384 is about 384.6888676500.

The spelling of 56928384 in words is "fifty-six million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 49417 98834 148251 197668 296502 395336 444753 593004 790672 889506 1186008 1581344 1779012 2372016 3162688 3558024 4744032 6325376 7116048 9488064 14232096 18976128 28464192 56928384