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557053056 = 27327371867
BaseRepresentation
bin100001001100111…
…111010010000000
31102211012020010200
4201030333102000
52120101144211
6131135325200
716542605250
oct4114772200
91384166120
10557053056
1126649522a
12136680800
138b53c8c1
1453da7960
1533d87b56
hex2133f480

557053056 has 192 divisors, whose sum is σ = 1882495680. Its totient is φ = 154773504.

The previous prime is 557053051. The next prime is 557053061. The reversal of 557053056 is 650350755.

557053056 is a `hidden beast` number, since 5 + 5 + 70 + 530 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (557053051) and next prime (557053061).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 557053056.

It is not an unprimeable number, because it can be changed into a prime (557053051) 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, 297435 + ... + 299301.

It is an arithmetic number, because the mean of its divisors is an integer number (9804665).

Almost surely, 2557053056 is an apocalyptic number.

557053056 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 557053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941247840).

557053056 is an abundant number, since it is smaller than the sum of its proper divisors (1325442624).

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

557053056 is a wasteful number, since it uses less digits than its factorization.

557053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 557053056 is about 23601.9714430808. The cubic root of 557053056 is about 822.8086595111.

The spelling of 557053056 in words is "five hundred fifty-seven million, fifty-three thousand, fifty-six".