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56008 = 237001
BaseRepresentation
bin1101101011001000
32211211101
431223020
53243013
61111144
7322201
oct155310
984741
1056008
1139097
12284b4
131c654
14165a8
15118dd
hexdac8

56008 has 8 divisors (see below), whose sum is σ = 105030. Its totient is φ = 28000.

The previous prime is 56003. The next prime is 56009. The reversal of 56008 is 80065.

56008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 6724 = 222^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 6 and base 15.

It is a zygodrome in base 6.

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 as a sum of consecutive naturals, namely, 3493 + ... + 3508.

256008 is an apocalyptic number.

56008 is the 127-th centered heptagonal number.

It is an amenable number.

56008 is a deficient number, since it is larger than the sum of its proper divisors (49022).

56008 is a wasteful number, since it uses less digits than its factorization.

56008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 56008 is about 236.6600938054. The cubic root of 56008 is about 38.2604454079.

The spelling of 56008 in words is "fifty-six thousand, eight".

Divisors: 1 2 4 8 7001 14002 28004 56008