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52983 = 327292
BaseRepresentation
bin1100111011110111
32200200100
430323313
53143413
61045143
7310320
oct147367
980610
1052983
1136897
12267b3
131b168
1415447
1510a73
hexcef7

52983 has 18 divisors (see below), whose sum is σ = 90584. Its totient is φ = 29232.

The previous prime is 52981. The next prime is 52999. The reversal of 52983 is 38925.

52983 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 52983 - 21 = 52981 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52981) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1813 + ... + 1841.

252983 is an apocalyptic number.

52983 is a deficient number, since it is larger than the sum of its proper divisors (37601).

52983 is a wasteful number, since it uses less digits than its factorization.

52983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 52983 is about 230.1803640626. The cubic root of 52983 is about 37.5588409582.

It can be divided in two parts, 52 and 983, that added together give a triangular number (1035 = T45).

The spelling of 52983 in words is "fifty-two thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 841 1827 2523 5887 7569 17661 52983