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57399424 = 27538461
BaseRepresentation
bin1101101011110…
…1100010000000
311000000012012121
43122331202000
5104143240144
65410134024
71264613155
oct332754200
9130005177
1057399424
112a445045
1217281314
13bb79374
1478a222c
15508c384
hex36bd880

57399424 has 32 divisors (see below), whose sum is σ = 116521740. Its totient is φ = 28154880.

The previous prime is 57399409. The next prime is 57399427. The reversal of 57399424 is 42499375.

It can be written as a sum of positive squares in 2 ways, for example, as 52417600 + 4981824 = 7240^2 + 2232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (57399427) 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, 2554 + ... + 11014.

Almost surely, 257399424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260870).

57399424 is an abundant number, since it is smaller than the sum of its proper divisors (59122316).

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

57399424 is an equidigital number, since it uses as much as digits as its factorization.

57399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8516 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 57399424 is about 7576.2407564702. The cubic root of 57399424 is about 385.7469593590.

The spelling of 57399424 in words is "fifty-seven million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 8461 16922 33844 67688 135376 270752 448433 541504 896866 1083008 1793732 3587464 7174928 14349856 28699712 57399424