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52972 = 22171941
BaseRepresentation
bin1100111011101100
32200122221
430323230
53143342
61045124
7310303
oct147354
980587
1052972
1136887
12267a4
131b15a
141543a
1510a67
hexceec

52972 has 24 divisors (see below), whose sum is σ = 105840. Its totient is φ = 23040.

The previous prime is 52967. The next prime is 52973. The reversal of 52972 is 27925.

52972 is nontrivially palindromic in base 16.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52973) by changing a digit.

52972 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, 1272 + ... + 1312.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

252972 is an apocalyptic number.

It is an amenable number.

52972 is a deficient number, since it is larger than the sum of its proper divisors (52868).

52972 is a wasteful number, since it uses less digits than its factorization.

52972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 52972 is about 230.1564685165. The cubic root of 52972 is about 37.5562415342.

It can be divided in two parts, 52 and 972, that added together give a 10-th power (1024 = 210).

The spelling of 52972 in words is "fifty-two thousand, nine hundred seventy-two".

Divisors: 1 2 4 17 19 34 38 41 68 76 82 164 323 646 697 779 1292 1394 1558 2788 3116 13243 26486 52972