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57356 = 22131103
BaseRepresentation
bin1110000000001100
32220200022
432000030
53313411
61121312
7326135
oct160014
986608
1057356
113a102
1229238
1320150
1416c8c
1511edb
hexe00c

57356 has 12 divisors (see below), whose sum is σ = 108192. Its totient is φ = 26448.

The previous prime is 57349. The next prime is 57367. The reversal of 57356 is 65375.

57356 = T53 + T54 + ... + T78.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (9016).

257356 is an apocalyptic number.

It is an amenable number.

57356 is a deficient number, since it is larger than the sum of its proper divisors (50836).

57356 is a wasteful number, since it uses less digits than its factorization.

57356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its digits is 3150, while the sum is 26.

The square root of 57356 is about 239.4911271843. The cubic root of 57356 is about 38.5649659301.

Adding to 57356 its product of digits (3150), we get a palindrome (60506).

The spelling of 57356 in words is "fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 4 13 26 52 1103 2206 4412 14339 28678 57356