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57800064 = 273721503
BaseRepresentation
bin1101110001111…
…1010110000000
311000202112210010
43130133112000
5104244100224
65422504520
71301202210
oct334372600
9130675703
1057800064
112a699053
1217435140
13bc8982a
147968240
15511ae29
hex371f580

57800064 has 64 divisors (see below), whose sum is σ = 175472640. Its totient is φ = 16513536.

The previous prime is 57800063. The next prime is 57800087. The reversal of 57800064 is 46000875.

It is a happy number.

57800064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57800063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8064 + ... + 13439.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 257800064 is an apocalyptic number.

It is an amenable number.

57800064 is an abundant number, since it is smaller than the sum of its proper divisors (117672576).

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

57800064 is a wasteful number, since it uses less digits than its factorization.

57800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21527 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57800064 is about 7602.6353325673. The cubic root of 57800064 is about 386.6423660247.

The spelling of 57800064 in words is "fifty-seven million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 21503 43006 64509 86012 129018 150521 172024 258036 301042 344048 451563 516072 602084 688096 903126 1032144 1204168 1376192 1806252 2064288 2408336 2752384 3612504 4128576 4816672 7225008 8257152 9633344 14450016 19266688 28900032 57800064