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561116808 = 233471031201
BaseRepresentation
bin100001011100011…
…111011010001000
31110002211200120000
4201130133122020
52122121214213
6131402403000
716622262030
oct4134373210
91402750500
10561116808
112688103aa
12137b00460
138c3334a5
14547448c0
15343dbc73
hex2171f688

561116808 has 160 divisors (see below), whose sum is σ = 1815116160. Its totient is φ = 158630400.

The previous prime is 561116789. The next prime is 561116867. The reversal of 561116808 is 808611165.

561116808 is a `hidden beast` number, since 561 + 1 + 16 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 466608 + ... + 467808.

It is an arithmetic number, because the mean of its divisors is an integer number (11344476).

Almost surely, 2561116808 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 561116808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907558080).

561116808 is an abundant number, since it is smaller than the sum of its proper divisors (1253999352).

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

561116808 is a wasteful number, since it uses less digits than its factorization.

561116808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 561116808 is about 23687.9042551257. The cubic root of 561116808 is about 824.8046347316.

The spelling of 561116808 in words is "five hundred sixty-one million, one hundred sixteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 103 108 126 162 168 189 206 216 252 309 324 378 412 504 567 618 648 721 756 824 927 1134 1201 1236 1442 1512 1854 2163 2268 2402 2472 2781 2884 3603 3708 4326 4536 4804 5562 5768 6489 7206 7416 8343 8407 8652 9608 10809 11124 12978 14412 16686 16814 17304 19467 21618 22248 25221 25956 28824 32427 33372 33628 38934 43236 50442 51912 58401 64854 66744 67256 75663 77868 86472 97281 100884 116802 123703 129708 151326 155736 194562 201768 226989 233604 247406 259416 302652 371109 389124 453978 467208 494812 605304 680967 742218 778248 865921 907956 989624 1113327 1361934 1484436 1731842 1815912 2226654 2597763 2723868 2968872 3339981 3463684 4453308 5195526 5447736 6679962 6927368 7793289 8906616 10019943 10391052 13359924 15586578 20039886 20782104 23379867 26719848 31173156 40079772 46759734 62346312 70139601 80159544 93519468 140279202 187038936 280558404 561116808