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57257352 = 23323721493
BaseRepresentation
bin1101101001101…
…0110110001000
310222201222022200
43122122312020
5104124213402
65403120200
71263452025
oct332326610
9128658280
1057257352
112a358329
1217213060
13bb297b9
14786654c
15506021c
hex369ad88

57257352 has 48 divisors (see below), whose sum is σ = 159270540. Its totient is φ = 18569088.

The previous prime is 57257323. The next prime is 57257363. The reversal of 57257352 is 25375275.

It is a happy number.

57257352 is a `hidden beast` number, since 57 + 257 + 352 = 666.

57257352 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 57244356 + 12996 = 7566^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 8083 + ... + 13410.

Almost surely, 257257352 is an apocalyptic number.

It is an amenable number.

57257352 is an abundant number, since it is smaller than the sum of its proper divisors (102013188).

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

57257352 is a wasteful number, since it uses less digits than its factorization.

57257352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542 (or 21535 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 57257352 is about 7566.8587934492. The cubic root of 57257352 is about 385.4284363012.

The spelling of 57257352 in words is "fifty-seven million, two hundred fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 21493 42986 64479 85972 128958 171944 193437 257916 386874 515832 773748 795241 1547496 1590482 2385723 3180964 4771446 6361928 7157169 9542892 14314338 19085784 28628676 57257352