Search a number
-
+
557297664 = 21237111931
BaseRepresentation
bin100001001101111…
…011000000000000
31102211122122200020
4201031323000000
52120132011124
6131144453440
716544644350
oct4115730000
91384578606
10557297664
11266641a90
1213677a280
138b5c7041
145402cb60
1533dd5379
hex2137b000

557297664 has 416 divisors, whose sum is σ = 2013020160. Its totient is φ = 132710400.

The previous prime is 557297651. The next prime is 557297681. The reversal of 557297664 is 466792755.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17977329 + ... + 17977359.

Almost surely, 2557297664 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 557297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006510080).

557297664 is an abundant number, since it is smaller than the sum of its proper divisors (1455722496).

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

557297664 is a wasteful number, since it uses less digits than its factorization.

557297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The square root of 557297664 is about 23607.1528143485. The cubic root of 557297664 is about 822.9290766038.

The spelling of 557297664 in words is "five hundred fifty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".