56644 has 27 divisors (see below), whose sum is σ = 122493. Its totient is φ = 22848.

The previous prime is 56633. The next prime is 56659. The reversal of 56644 is 44665.

Multipling 56644 by its sum of digits (25), we get a square (1416100 = 1190^{2}).

56644 = T_{237} + T_{238}.

It is a happy number.

The square root of 56644 is 238.

It is a perfect power (a square), and thus also a powerful number.

56644 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., 44100 + 12544 = 210^2 + 112^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3324 + ... + 3340.

2^{56644} is an apocalyptic number.

56644 is the 238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56644

56644 is an abundant number, since it is smaller than the sum of its proper divisors (65849).

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

56644 is a wasteful number, since it uses less digits than its factorization.

56644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The cubic root of 56644 is about 38.4047230880.

The spelling of 56644 in words is "fifty-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 8092 14161 28322 56644

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