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57856 = 29113
BaseRepresentation
bin1110001000000000
32221100211
432020000
53322411
61123504
7330451
oct161000
987324
1057856
113a517
1229594
1320446
1417128
1512221
hexe200

57856 has 20 divisors (see below), whose sum is σ = 116622. Its totient is φ = 28672.

The previous prime is 57853. The next prime is 57859. The reversal of 57856 is 65875.

57856 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (57853) and next prime (57859).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 256 = 240^2 + 16^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 456 + ... + 568.

257856 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 57856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58311).

57856 is an abundant number, since it is smaller than the sum of its proper divisors (58766).

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

57856 is an equidigital number, since it uses as much as digits as its factorization.

57856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 57856 is about 240.5327420540. The cubic root of 57856 is about 38.6767050169.

The spelling of 57856 in words is "fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3616 7232 14464 28928 57856