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557683056 = 2435731661
BaseRepresentation
bin100001001111011…
…001000101110000
31102212101020100000
4201033121011300
52120231324211
6131201030000
716551141060
oct4117310560
91385336300
10557683056
11266885597
12136925300
138b700598
14540cd3a0
1533e5e656
hex213d9170

557683056 has 240 divisors, whose sum is σ = 1912322048. Its totient is φ = 153964800.

The previous prime is 557683051. The next prime is 557683057. The reversal of 557683056 is 650386755.

557683056 is a `hidden beast` number, since 557 + 68 + 30 + 5 + 6 = 666.

It is a super-2 number, since 2×5576830562 = 622020781898998272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557683051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 843366 + ... + 844026.

Almost surely, 2557683056 is an apocalyptic number.

557683056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557683056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956161024).

557683056 is an abundant number, since it is smaller than the sum of its proper divisors (1354638992).

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

557683056 is a wasteful number, since it uses less digits than its factorization.

557683056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 557683056 is about 23615.3140144272. The cubic root of 557683056 is about 823.1187282174.

The spelling of 557683056 in words is "five hundred fifty-seven million, six hundred eighty-three thousand, fifty-six".