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57513344 = 27764189
BaseRepresentation
bin1101101101100…
…1010110000000
311000012222110212
43123121112000
5104210411334
65412413252
71265566250
oct333312600
9130188425
1057513344
112a512699
1217317228
13bbb9185
1478d1960
1550b0ece
hex36d9580

57513344 has 32 divisors (see below), whose sum is σ = 130947600. Its totient is φ = 24648192.

The previous prime is 57513341. The next prime is 57513349. The reversal of 57513344 is 44331575.

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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 57513344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57513341) 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, 31199 + ... + 32990.

Almost surely, 257513344 is an apocalyptic number.

It is an amenable number.

57513344 is an abundant number, since it is smaller than the sum of its proper divisors (73434256).

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

57513344 is an equidigital number, since it uses as much as digits as its factorization.

57513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64210 (or 64198 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 57513344 is about 7583.7552703130. The cubic root of 57513344 is about 386.0019866203.

The spelling of 57513344 in words is "fifty-seven million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 64189 128378 256756 449323 513512 898646 1027024 1797292 2054048 3594584 4108096 7189168 8216192 14378336 28756672 57513344