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57928 = 2313557
BaseRepresentation
bin1110001001001000
32221110111
432021020
53323203
61124104
7330613
oct161110
987414
1057928
113a582
1229634
13204a0
141717a
151226d
hexe248

57928 has 16 divisors (see below), whose sum is σ = 117180. Its totient is φ = 26688.

The previous prime is 57923. The next prime is 57943. The reversal of 57928 is 82975.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 10404 = 218^2 + 102^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 57928.

It is not an unprimeable number, because it can be changed into a prime (57923) by changing a digit.

57928 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 3 ways as a sum of consecutive naturals, for example, 175 + ... + 382.

257928 is an apocalyptic number.

It is an amenable number.

57928 is an abundant number, since it is smaller than the sum of its proper divisors (59252).

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 (58590).

57928 is a wasteful number, since it uses less digits than its factorization.

57928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 57928 is about 240.6823632924. The cubic root of 57928 is about 38.6927423532.

The spelling of 57928 in words is "fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 557 1114 2228 4456 7241 14482 28964 57928