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557358345 = 32517728573
BaseRepresentation
bin100001001110001…
…001110100001001
31102211202201220200
4201032021310021
52120140431340
6131150042413
716545316305
oct4116116411
91384681820
10557358345
11266683635
121367a9409
138b61884b
1454046d05
1533de8330
hex21389d09

557358345 has 24 divisors (see below), whose sum is σ = 1022917896. Its totient is φ = 279771648.

The previous prime is 557358341. The next prime is 557358349. The reversal of 557358345 is 543853755.

557358345 is a `hidden beast` number, since 557 + 3 + 58 + 3 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (557358341) and next prime (557358349).

It can be written as a sum of positive squares in 4 ways, for example, as 94420089 + 462938256 = 9717^2 + 21516^2 .

It is not a de Polignac number, because 557358345 - 22 = 557358341 is a prime.

It is a super-2 number, since 2×5573583452 = 621296649482278050, 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 557358345.

It is not an unprimeable number, because it can be changed into a prime (557358341) 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, 363522 + ... + 365051.

It is an arithmetic number, because the mean of its divisors is an integer number (42621579).

Almost surely, 2557358345 is an apocalyptic number.

It is an amenable number.

557358345 is a deficient number, since it is larger than the sum of its proper divisors (465559551).

557358345 is a wasteful number, since it uses less digits than its factorization.

557358345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728601 (or 728598 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The square root of 557358345 is about 23608.4380042391. The cubic root of 557358345 is about 822.9589435554.

The spelling of 557358345 in words is "five hundred fifty-seven million, three hundred fifty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 728573 2185719 3642865 6557157 10928595 12385741 32785785 37157223 61928705 111471669 185786115 557358345