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557747344 = 247111074231
BaseRepresentation
bin100001001111101…
…000110010010000
31102212111111112001
4201033220302100
52120240403334
6131202243344
716551526360
oct4117506220
91385444461
10557747344
11266919920
12136956554
138b72391b
14541089a0
1533e73714
hex213e8c90

557747344 has 80 divisors (see below), whose sum is σ = 1360198656. Its totient is φ = 215222400.

The previous prime is 557747269. The next prime is 557747363. The reversal of 557747344 is 443747755.

It is a super-2 number, since 2×5577473442 = 622164199478108672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557747294 and 557747303.

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, 129709 + ... + 133939.

Almost surely, 2557747344 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 557747344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680099328).

557747344 is an abundant number, since it is smaller than the sum of its proper divisors (802451312).

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

557747344 is a wasteful number, since it uses less digits than its factorization.

557747344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4358 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 46.

The square root of 557747344 is about 23616.6751258512. The cubic root of 557747344 is about 823.1503558734.

The spelling of 557747344 in words is "five hundred fifty-seven million, seven hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 107 112 154 176 214 308 428 616 749 856 1177 1232 1498 1712 2354 2996 4231 4708 5992 8239 8462 9416 11984 16478 16924 18832 29617 32956 33848 46541 59234 65912 67696 93082 118468 131824 186164 236936 325787 372328 452717 473872 651574 744656 905434 1303148 1810868 2606296 3169019 3621736 4979887 5212592 6338038 7243472 9959774 12676076 19919548 25352152 34859209 39839096 50704304 69718418 79678192 139436836 278873672 557747344