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57403936 = 254143753
BaseRepresentation
bin1101101011111…
…0101000100000
311000000102101201
43122332220200
5104143411221
65410210544
71264632262
oct332765040
9130012351
1057403936
112a448477
1217283a54
13bb7b435
1478a3b32
15508d891
hex36bea20

57403936 has 24 divisors (see below), whose sum is σ = 115773084. Its totient is φ = 28001280.

The previous prime is 57403919. The next prime is 57403943. The reversal of 57403936 is 63930475.

57403936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52475536 + 4928400 = 7244^2 + 2220^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57403895 and 57403904.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20565 + ... + 23188.

Almost surely, 257403936 is an apocalyptic number.

It is an amenable number.

57403936 is an abundant number, since it is smaller than the sum of its proper divisors (58369148).

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

57403936 is a wasteful number, since it uses less digits than its factorization.

57403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43804 (or 43796 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 57403936 is about 7576.5385236267. The cubic root of 57403936 is about 385.7570665724.

The spelling of 57403936 in words is "fifty-seven million, four hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 43753 87506 175012 350024 700048 1400096 1793873 3587746 7175492 14350984 28701968 57403936