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557903385 = 32513953681
BaseRepresentation
bin100001010000001…
…110111000011001
31102212210102120100
4201100032320121
52120310402020
6131205450013
716553046324
oct4120167031
91385712510
10557903385
11266a16086
12136a10909
138b779960
14541497bb
1533ea4a90
hex2140ee19

557903385 has 24 divisors (see below), whose sum is σ = 1041420744. Its totient is φ = 274659840.

The previous prime is 557903383. The next prime is 557903393. The reversal of 557903385 is 583309755.

557903385 is a `hidden beast` number, since 557 + 90 + 3 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3583449 + 554319936 = 1893^2 + 23544^2 .

It is not a de Polignac number, because 557903385 - 21 = 557903383 is a prime.

It is a super-2 number, since 2×5579033852 = 622512373988916450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 557903385.

It is not an unprimeable number, because it can be changed into a prime (557903383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476256 + ... + 477425.

It is an arithmetic number, because the mean of its divisors is an integer number (43392531).

Almost surely, 2557903385 is an apocalyptic number.

It is an amenable number.

557903385 is a deficient number, since it is larger than the sum of its proper divisors (483517359).

557903385 is a wasteful number, since it uses less digits than its factorization.

557903385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953705 (or 953702 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 557903385 is about 23619.9785139614. The cubic root of 557903385 is about 823.2271129867.

The spelling of 557903385 in words is "five hundred fifty-seven million, nine hundred three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 953681 2861043 4768405 8583129 12397853 14305215 37193559 42915645 61989265 111580677 185967795 557903385