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56904 = 2332371
BaseRepresentation
bin1101111001001000
32220001120
431321020
53310104
61115240
7324621
oct157110
986046
1056904
1139831
1228b20
131cb93
1416a48
1511cd9
hexde48

56904 has 16 divisors (see below), whose sum is σ = 142320. Its totient is φ = 18960.

The previous prime is 56897. The next prime is 56909. The reversal of 56904 is 40965.

56904 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2371 = 56904 / (5 + 6 + 9 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (56909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1162 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (8895).

256904 is an apocalyptic number.

It is an amenable number.

56904 is an abundant number, since it is smaller than the sum of its proper divisors (85416).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71160).

56904 is a wasteful number, since it uses less digits than its factorization.

56904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56904 is about 238.5455931263. The cubic root of 56904 is about 38.4633935515.

The spelling of 56904 in words is "fifty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 2371 4742 7113 9484 14226 18968 28452 56904