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557963056 = 24710746559
BaseRepresentation
bin100001010000011…
…101011100110000
31102212220110102101
4201100131130300
52120314304211
6131211030144
716553415310
oct4120353460
91385813371
10557963056
11266a569a2
12136a3b354
138b79ab71
1454163440
1533eb75c1
hex2141d730

557963056 has 40 divisors (see below), whose sum is σ = 1247063040. Its totient is φ = 236887104.

The previous prime is 557963047. The next prime is 557963057. The reversal of 557963056 is 650369755.

It is a super-2 number, since 2×5579630562 = 622645543721718272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 557962997 and 557963015.

It is not an unprimeable number, because it can be changed into a prime (557963057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11296 + ... + 35263.

It is an arithmetic number, because the mean of its divisors is an integer number (31176576).

Almost surely, 2557963056 is an apocalyptic number.

557963056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

557963056 is an abundant number, since it is smaller than the sum of its proper divisors (689099984).

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

557963056 is a wasteful number, since it uses less digits than its factorization.

557963056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46681 (or 46675 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 46.

The square root of 557963056 is about 23621.2416269763. The cubic root of 557963056 is about 823.2564615771.

It can be divided in two parts, 5579 and 63056, that added together give a triangular number (68635 = T370).

The spelling of 557963056 in words is "five hundred fifty-seven million, nine hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5992 11984 46559 93118 186236 325913 372472 651826 744944 1303652 2607304 4981813 5214608 9963626 19927252 34872691 39854504 69745382 79709008 139490764 278981528 557963056