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557328064 = 26196772
BaseRepresentation
bin100001001110000…
…010011011000000
31102211201012101011
4201032002123000
52120133444224
6131145250304
716545132106
oct4116023300
91384635334
10557328064
11266662907
12136793994
138b607b27
1454039c76
1533dde394
hex213826c0

557328064 has 42 divisors (see below), whose sum is σ = 1165877780. Its totient is φ = 263607552.

The previous prime is 557328041. The next prime is 557328071. The reversal of 557328064 is 460823755.

It is a super-2 number, since 2×5573280642 = 621229141843976192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 822894 + ... + 823570.

Almost surely, 2557328064 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 557328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582938890).

557328064 is an abundant number, since it is smaller than the sum of its proper divisors (608549716).

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

557328064 is an frugal number, since it uses more digits than its factorization.

557328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 557328064 is about 23607.7966782163. The cubic root of 557328064 is about 822.9440396363.

The spelling of 557328064 in words is "five hundred fifty-seven million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 677 1216 1354 2708 5416 10832 12863 21664 25726 43328 51452 102904 205808 411616 458329 823232 916658 1833316 3666632 7333264 8708251 14666528 17416502 29333056 34833004 69666008 139332016 278664032 557328064