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557907345 = 365269569
BaseRepresentation
bin100001010000001…
…111110110010001
31102212210122000000
4201100033312101
52120311013340
6131205520213
716553064012
oct4120176621
91385718000
10557907345
11266a19056
12136a13069
138b77b6b8
145414b009
1533ea5d30
hex2140fd91

557907345 has 56 divisors (see below), whose sum is σ = 1009276200. Its totient is φ = 295923456.

The previous prime is 557907323. The next prime is 557907359. The reversal of 557907345 is 543709755.

557907345 is a `hidden beast` number, since 5 + 579 + 0 + 73 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 549246096 = 2943^2 + 23436^2 .

It is not a de Polignac number, because 557907345 - 218 = 557645201 is a prime.

It is a super-2 number, since 2×5579073452 = 622521211209898050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 557907345.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 980221 + ... + 980789.

Almost surely, 2557907345 is an apocalyptic number.

It is an amenable number.

557907345 is a deficient number, since it is larger than the sum of its proper divisors (451368855).

557907345 is an equidigital number, since it uses as much as digits as its factorization.

557907345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 557907345 is about 23620.0623411540. The cubic root of 557907345 is about 823.2290607383.

The spelling of 557907345 in words is "five hundred fifty-seven million, nine hundred seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 269 405 569 729 807 1215 1345 1707 2421 2845 3645 4035 5121 7263 8535 12105 15363 21789 25605 36315 46089 65367 76815 108945 138267 153061 196101 230445 326835 414801 459183 691335 765305 980505 1377549 2074005 2295915 4132647 6887745 12397941 20663235 37193823 61989705 111581469 185969115 557907345