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57805132 = 22711593181
BaseRepresentation
bin1101110010000…
…0100101001100
311000202210201211
43130200211030
5104244231012
65422544204
71301223040
oct334404514
9130683654
1057805132
112a6a1940
1217438064
13bc8bc28
14796a020
15511c6a7
hex372094c

57805132 has 48 divisors (see below), whose sum is σ = 128298240. Its totient is φ = 22132800.

The previous prime is 57805129. The next prime is 57805157. The reversal of 57805132 is 23150875.

It is a junction number, because it is equal to n+sod(n) for n = 57805094 and 57805103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16582 + ... + 19762.

It is an arithmetic number, because the mean of its divisors is an integer number (2672880).

Almost surely, 257805132 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 57805132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64149120).

57805132 is an abundant number, since it is smaller than the sum of its proper divisors (70493108).

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

57805132 is a wasteful number, since it uses less digits than its factorization.

57805132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3260 counting only the distinct ones).

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

The square root of 57805132 is about 7602.9686307389. The cubic root of 57805132 is about 386.6536661635.

The spelling of 57805132 in words is "fifty-seven million, eight hundred five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 3181 4543 6362 9086 12724 18172 22267 34991 44534 69982 89068 139964 187679 244937 375358 489874 750716 979748 1313753 2064469 2627506 4128938 5255012 8257876 14451283 28902566 57805132