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57708 = 22327229
BaseRepresentation
bin1110000101101100
32221011100
432011230
53321313
61123100
7330150
oct160554
987140
1057708
113a3a2
1229490
1320361
1417060
1512173
hexe16c

57708 has 36 divisors (see below), whose sum is σ = 167440. Its totient is φ = 16416.

The previous prime is 57697. The next prime is 57709. The reversal of 57708 is 80775.

57708 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (57709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 366.

257708 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 57708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83720).

57708 is an abundant number, since it is smaller than the sum of its proper divisors (109732).

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

57708 is a wasteful number, since it uses less digits than its factorization.

57708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57708 is about 240.2248946300. The cubic root of 57708 is about 38.6436975488.

It can be divided in two parts, 5770 and 8, that added together give a triangular number (5778 = T107).

The spelling of 57708 in words is "fifty-seven thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 2061 2748 3206 4122 4809 6412 8244 9618 14427 19236 28854 57708