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557050496 = 2719322549
BaseRepresentation
bin100001001100111…
…110101010000000
31102211012002121212
4201030332222000
52120101103441
6131135305252
716542564632
oct4114765200
91384162555
10557050496
11266493312
1213667b228
138b53b6a2
1453da6a52
1533d86eeb
hex2133ea80

557050496 has 32 divisors (see below), whose sum is σ = 1115548500. Its totient is φ = 277069824.

The previous prime is 557050489. The next prime is 557050513. The reversal of 557050496 is 694050755.

It can be written as a sum of positive squares in 2 ways, for example, as 532686400 + 24364096 = 23080^2 + 4936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13430 + ... + 35978.

Almost surely, 2557050496 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 557050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557774250).

557050496 is an abundant number, since it is smaller than the sum of its proper divisors (558498004).

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

557050496 is a wasteful number, since it uses less digits than its factorization.

557050496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756 (or 22744 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 557050496 is about 23601.9172102607. The cubic root of 557050496 is about 822.8073990726.

The spelling of 557050496 in words is "five hundred fifty-seven million, fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6176 12352 22549 24704 45098 90196 180392 360784 721568 1443136 2886272 4351957 8703914 17407828 34815656 69631312 139262624 278525248 557050496