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557858496 = 26313534217
BaseRepresentation
bin100001010000000…
…011111011000000
31102212201010222210
4201100003323000
52120302432441
6131204502120
716552501416
oct4120037300
91385633883
10557858496
11266995388
121369aa940
138b7623b0
14541372b6
1533e96616
hex21403ec0

557858496 has 112 divisors (see below), whose sum is σ = 1619914464. Its totient is φ = 168370176.

The previous prime is 557858489. The next prime is 557858501. The reversal of 557858496 is 694858755.

It is a super-2 number, since 2×5578584962 = 622412203118764032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130180 + ... + 134396.

It is an arithmetic number, because the mean of its divisors is an integer number (14463522).

Almost surely, 2557858496 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 557858496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809957232).

557858496 is an abundant number, since it is smaller than the sum of its proper divisors (1062055968).

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

557858496 is a wasteful number, since it uses less digits than its factorization.

557858496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4288 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 57.

The square root of 557858496 is about 23619.0282611288. The cubic root of 557858496 is about 823.2050333973.

The spelling of 557858496 in words is "five hundred fifty-seven million, eight hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 159 192 208 212 312 318 416 424 624 636 689 832 848 1248 1272 1378 1696 2067 2496 2544 2756 3392 4134 4217 5088 5512 8268 8434 10176 11024 12651 16536 16868 22048 25302 33072 33736 44096 50604 54821 66144 67472 101208 109642 132288 134944 164463 202416 219284 223501 269888 328926 404832 438568 447002 657852 670503 809664 877136 894004 1315704 1341006 1754272 1788008 2631408 2682012 2905513 3508544 3576016 5262816 5364024 5811026 7152032 8716539 10525632 10728048 11622052 14304064 17433078 21456096 23244104 34866156 42912192 46488208 69732312 92976416 139464624 185952832 278929248 557858496