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57819968 = 262931153
BaseRepresentation
bin1101110010010…
…0001101000000
311000210120002022
43130210031000
5104300214333
65423141012
71301314223
oct334441500
9130716068
1057819968
112a701aa8
1217444768
13bc958cb
1479715ba
155121c98
hex3724340

57819968 has 28 divisors (see below), whose sum is σ = 118696740. Its totient is φ = 27912192.

The previous prime is 57819961. The next prime is 57819973. The reversal of 57819968 is 86991875.

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 35617024 = 4712^2 + 5968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57819961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13721 + ... + 17432.

Almost surely, 257819968 is an apocalyptic number.

57819968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57819968 is an abundant number, since it is smaller than the sum of its proper divisors (60876772).

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

57819968 is a wasteful number, since it uses less digits than its factorization.

57819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31194 (or 31184 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 53.

The square root of 57819968 is about 7603.9442396693. The cubic root of 57819968 is about 386.6867422527.

The spelling of 57819968 in words is "fifty-seven million, eight hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 31153 62306 124612 249224 498448 903437 996896 1806874 1993792 3613748 7227496 14454992 28909984 57819968