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57000064 = 271140483
BaseRepresentation
bin1101100101110…
…0000010000000
310222020220101111
43121130002000
5104043000224
65353413104
71261330642
oct331340200
9128226344
1057000064
112a1a1aa0
121710a194
13ba69664
1477da892
15500dd94
hex365c080

57000064 has 32 divisors (see below), whose sum is σ = 123881040. Its totient is φ = 25908480.

The previous prime is 57000059. The next prime is 57000067. The reversal of 57000064 is 46000075.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 56999999 and 57000044.

It is not an unprimeable number, because it can be changed into a prime (57000067) 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, 18834 + ... + 21649.

Almost surely, 257000064 is an apocalyptic number.

It is an amenable number.

57000064 is an abundant number, since it is smaller than the sum of its proper divisors (66880976).

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

57000064 is a wasteful number, since it uses less digits than its factorization.

57000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40496 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57000064 is about 7549.8386737731. The cubic root of 57000064 is about 384.8502571651.

The spelling of 57000064 in words is "fifty-seven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 40483 80966 161932 323864 445313 647728 890626 1295456 1781252 2590912 3562504 5181824 7125008 14250016 28500032 57000064