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557190816 = 25371363781
BaseRepresentation
bin100001001101100…
…000111010100000
31102211110020002220
4201031200322200
52120120101231
6131142311040
716544021010
oct4115407240
91384406086
10557190816
11266579786
12136728480
138b58a510
1454001c40
1533db3896
hex21360ea0

557190816 has 96 divisors (see below), whose sum is σ = 1800183168. Its totient is φ = 146949120.

The previous prime is 557190811. The next prime is 557190817. The reversal of 557190816 is 618091755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (557190811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23155 + ... + 40626.

It is an arithmetic number, because the mean of its divisors is an integer number (18751908).

Almost surely, 2557190816 is an apocalyptic number.

557190816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

557190816 is an abundant number, since it is smaller than the sum of its proper divisors (1242992352).

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

557190816 is a wasteful number, since it uses less digits than its factorization.

557190816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63814 (or 63806 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 557190816 is about 23604.8896629491. The cubic root of 557190816 is about 822.8764811648.

The spelling of 557190816 in words is "five hundred fifty-seven million, one hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 63781 127562 191343 255124 382686 446467 510248 765372 829153 892934 1020496 1339401 1530744 1658306 1785868 2040992 2487459 2678802 3061488 3316612 3571736 4974918 5357604 5804071 6122976 6633224 7143472 9949836 10715208 11608142 13266448 14286944 17412213 19899672 21430416 23216284 26532896 34824426 39799344 42860832 46432568 69648852 79598688 92865136 139297704 185730272 278595408 557190816