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56004 = 22313359
BaseRepresentation
bin1101101011000100
32211211020
431223010
53243004
61111140
7322164
oct155304
984736
1056004
1139093
12284b0
131c650
14165a4
15118d9
hexdac4

56004 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 17184.

The previous prime is 56003. The next prime is 56009. The reversal of 56004 is 40065.

56004 is nontrivially palindromic in base 11.

56004 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 not an unprimeable number, because it can be changed into a prime (56003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

256004 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 56004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

56004 is an abundant number, since it is smaller than the sum of its proper divisors (85116).

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

56004 is a wasteful number, since it uses less digits than its factorization.

56004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56004 is about 236.6516427156. The cubic root of 56004 is about 38.2595345534.

Adding to 56004 its reverse (40065), we get a palindrome (96069).

The spelling of 56004 in words is "fifty-six thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 359 718 1077 1436 2154 4308 4667 9334 14001 18668 28002 56004