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57493964 = 22113161691
BaseRepresentation
bin1101101101010…
…0100111001100
311000011222220002
43123110213030
5104204301324
65412143432
71265455613
oct333244714
9130158802
1057493964
112a4aa080
1217307b78
13bbb03c8
1478c887a
1550aa3ae
hex36d49cc

57493964 has 48 divisors (see below), whose sum is σ = 115325952. Its totient is φ = 24840000.

The previous prime is 57493939. The next prime is 57493987. The reversal of 57493964 is 46939475.

It is a happy number.

It is a super-4 number, since 4×574939644 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82859 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (2402624).

Almost surely, 257493964 is an apocalyptic number.

It is an amenable number.

57493964 is an abundant number, since it is smaller than the sum of its proper divisors (57831988).

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

57493964 is a wasteful number, since it uses less digits than its factorization.

57493964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 57493964 is about 7582.4774315523. The cubic root of 57493964 is about 385.9586253272.

The spelling of 57493964 in words is "fifty-seven million, four hundred ninety-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 31 44 61 62 122 124 244 341 671 682 691 1342 1364 1382 1891 2684 2764 3782 7564 7601 15202 20801 21421 30404 41602 42151 42842 83204 84302 85684 168604 235631 463661 471262 927322 942524 1306681 1854644 2613362 5226724 14373491 28746982 57493964