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57536 = 262931
BaseRepresentation
bin1110000011000000
32220220222
432003000
53320121
61122212
7326513
oct160300
986828
1057536
113a256
1229368
132025b
1416d7a
15120ab
hexe0c0

57536 has 28 divisors (see below), whose sum is σ = 121920. Its totient is φ = 26880.

The previous prime is 57529. The next prime is 57557. The reversal of 57536 is 63575.

57536 is nontrivially palindromic in base 3.

It is a zygodrome in base 2.

It is an unprimeable number.

57536 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1841 + ... + 1871.

257536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

57536 is an abundant number, since it is smaller than the sum of its proper divisors (64384).

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

57536 is a wasteful number, since it uses less digits than its factorization.

57536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

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

The square root of 57536 is about 239.8666296090. The cubic root of 57536 is about 38.6052665369.

The spelling of 57536 in words is "fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1798 1856 1984 3596 7192 14384 28768 57536