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557306880 = 21035132791
BaseRepresentation
bin100001001101111…
…101010000000000
31102211200010022120
4201031331100000
52120132310010
6131145004240
716545013254
oct4115752000
91384603276
10557306880
112666489a9
12136783680
138b5cb2b0
1454032264
1533dd7e70
hex2137d400

557306880 has 176 divisors, whose sum is σ = 1920315264. Its totient is φ = 137134080.

The previous prime is 557306837. The next prime is 557306887. The reversal of 557306880 is 88603755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557306887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198285 + ... + 201075.

Almost surely, 2557306880 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 557306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960157632).

557306880 is an abundant number, since it is smaller than the sum of its proper divisors (1363008384).

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

557306880 is a wasteful number, since it uses less digits than its factorization.

557306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 557306880 is about 23607.3480086180. The cubic root of 557306880 is about 822.9336128227.

The spelling of 557306880 in words is "five hundred fifty-seven million, three hundred six thousand, eight hundred eighty".