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557996032 = 21111173147
BaseRepresentation
bin100001010000100…
…101100000000000
31102212222010122201
4201100211200000
52120321333112
6131211442544
716553613406
oct4120454000
91385863581
10557996032
11266a79750
12136a56454
138b7acb89
1454171476
1533ec2257
hex21425800

557996032 has 192 divisors, whose sum is σ = 1358622720. Its totient is φ = 226099200.

The previous prime is 557996017. The next prime is 557996051. The reversal of 557996032 is 230699755.

It is a happy number.

It is a super-2 number, since 2×5579960322 = 622719143455490048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11872233 + ... + 11872279.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2557996032 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 557996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

557996032 is an abundant number, since it is smaller than the sum of its proper divisors (800626688).

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

557996032 is a wasteful number, since it uses less digits than its factorization.

557996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The square root of 557996032 is about 23621.9396324688. The cubic root of 557996032 is about 823.2726795985.

The spelling of 557996032 in words is "five hundred fifty-seven million, nine hundred ninety-six thousand, thirty-two".