Search a number
-
+
57932 = 2272069
BaseRepresentation
bin1110001001001100
32221110122
432021030
53323212
61124112
7330620
oct161114
987418
1057932
113a586
1229638
13204a4
1417180
1512272
hexe24c

57932 has 12 divisors (see below), whose sum is σ = 115920. Its totient is φ = 24816.

The previous prime is 57923. The next prime is 57943. The reversal of 57932 is 23975.

57932 is an admirable number.

It is a super-2 number, since 2×579322 = 6712233248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1007 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

257932 is an apocalyptic number.

It is an amenable number.

57932 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

57932 is a wasteful number, since it uses less digits than its factorization.

57932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2078 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 57932 is about 240.6906728563. The cubic root of 57932 is about 38.6936329266.

It can be divided in two parts, 579 and 32, that multiplied together give a triangular number (18528 = T192).

The spelling of 57932 in words is "fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 2069 4138 8276 14483 28966 57932