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57014964 = 22321583749
BaseRepresentation
bin1101100101111…
…1101010110100
310222021122211100
43121133222310
5104043434324
65354010100
71261422246
oct331375264
9128248740
1057014964
112a202206
1217116930
13ba73386
147802096
1550134c9
hex365fab4

57014964 has 18 divisors (see below), whose sum is σ = 144121250. Its totient is φ = 19004976.

The previous prime is 57014963. The next prime is 57014977. The reversal of 57014964 is 46941075.

It can be written as a sum of positive squares in only one way, i.e., 44355600 + 12659364 = 6660^2 + 3558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×570149642 = 6501412239842592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1583749 = 57014964 / (5 + 7 + 0 + 1 + 4 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57014963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 791839 + ... + 791910.

Almost surely, 257014964 is an apocalyptic number.

It is an amenable number.

57014964 is an abundant number, since it is smaller than the sum of its proper divisors (87106286).

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

57014964 is a wasteful number, since it uses less digits than its factorization.

57014964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583759 (or 1583754 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57014964 is about 7550.8253853470. The cubic root of 57014964 is about 384.8837879418.

The spelling of 57014964 in words is "fifty-seven million, fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1583749 3167498 4751247 6334996 9502494 14253741 19004988 28507482 57014964