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557643376 = 24312814001
BaseRepresentation
bin100001001111001…
…111011001110000
31102212022012220101
4201033033121300
52120224042001
6131200122144
716550614303
oct4117173160
91385265811
10557643376
112668587a4
12136906354
138b6b84c4
14540bcb3a
1533e52a01
hex213cf670

557643376 has 40 divisors (see below), whose sum is σ = 1119535488. Its totient is φ = 268800000.

The previous prime is 557643353. The next prime is 557643379. The reversal of 557643376 is 673346755.

557643376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5576433762 = 621932269593354752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557643379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137376 + ... + 141376.

Almost surely, 2557643376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557643376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559767744).

557643376 is an abundant number, since it is smaller than the sum of its proper divisors (561892112).

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

557643376 is a wasteful number, since it uses less digits than its factorization.

557643376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4315 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 46.

The square root of 557643376 is about 23614.4738666776. The cubic root of 557643376 is about 823.0992057034.

The spelling of 557643376 in words is "five hundred fifty-seven million, six hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 281 496 562 1124 2248 4001 4496 8002 8711 16004 17422 32008 34844 64016 69688 124031 139376 248062 496124 992248 1124281 1984496 2248562 4497124 8994248 17988496 34852711 69705422 139410844 278821688 557643376