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56588 = 2274347
BaseRepresentation
bin1101110100001100
32212121212
431310030
53302323
61113552
7323660
oct156414
985555
1056588
1139574
12288b8
131c9ac
14168a0
1511b78
hexdd0c

56588 has 24 divisors (see below), whose sum is σ = 118272. Its totient is φ = 23184.

The previous prime is 56569. The next prime is 56591. The reversal of 56588 is 88565.

56588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56588.

It is an unprimeable number.

56588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (4928).

256588 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 56588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136).

56588 is an abundant number, since it is smaller than the sum of its proper divisors (61684).

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

56588 is a wasteful number, since it uses less digits than its factorization.

56588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 56588 is about 237.8823238494. The cubic root of 56588 is about 38.3920628850.

The spelling of 56588 in words is "fifty-six thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 14 28 43 47 86 94 172 188 301 329 602 658 1204 1316 2021 4042 8084 14147 28294 56588