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56940192 = 2533591117
BaseRepresentation
bin1101100100110…
…1011010100000
310222010212021000
43121031122200
5104034041232
65352232000
71260661251
oct331153240
9128125230
1056940192
112a161011
121709b600
13ba4832a
1477c2b28
154eeb27c
hex364d6a0

56940192 has 96 divisors (see below), whose sum is σ = 169041600. Its totient is φ = 18641664.

The previous prime is 56940187. The next prime is 56940193. The reversal of 56940192 is 29104965.

56940192 is a `hidden beast` number, since 569 + 4 + 0 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (56940193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50418 + ... + 51534.

It is an arithmetic number, because the mean of its divisors is an integer number (1760850).

Almost surely, 256940192 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 56940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520800).

56940192 is an abundant number, since it is smaller than the sum of its proper divisors (112101408).

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

56940192 is a wasteful number, since it uses less digits than its factorization.

56940192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 56940192 is about 7545.8725141630. The cubic root of 56940192 is about 384.7154630072.

The spelling of 56940192 in words is "fifty-six million, nine hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1117 1416 1593 1888 2124 2234 2832 3186 3351 4248 4468 5664 6372 6702 8496 8936 10053 12744 13404 16992 17872 20106 25488 26808 30159 35744 40212 50976 53616 60318 65903 80424 107232 120636 131806 160848 197709 241272 263612 321696 395418 482544 527224 593127 790836 965088 1054448 1186254 1581672 1779381 2108896 2372508 3163344 3558762 4745016 6326688 7117524 9490032 14235048 18980064 28470096 56940192