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561147696 = 243317109701
BaseRepresentation
bin100001011100100…
…110111100110000
31110002220020221000
4201130212330300
52122123211241
6131403202000
716622451054
oct4134467460
91402806830
10561147696
1126883162a
12137b16300
138c344575
1454751c64
15343e5eb6
hex21726f30

561147696 has 160 divisors (see below), whose sum is σ = 1723550400. Its totient is φ = 174182400.

The previous prime is 561147683. The next prime is 561147701. The reversal of 561147696 is 696741165.

561147696 is a `hidden beast` number, since 561 + 14 + 76 + 9 + 6 = 666.

It is a super-2 number, since 2×5611476962 = 629773473452216832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800146 + ... + 800846.

It is an arithmetic number, because the mean of its divisors is an integer number (10772190).

Almost surely, 2561147696 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 561147696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

561147696 is an abundant number, since it is smaller than the sum of its proper divisors (1162402704).

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

561147696 is a wasteful number, since it uses less digits than its factorization.

561147696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 561147696 is about 23688.5562244726. The cubic root of 561147696 is about 824.8197688937.

The spelling of 561147696 in words is "five hundred sixty-one million, one hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 109 136 144 153 204 216 218 272 306 327 408 432 436 459 612 654 701 816 872 918 981 1224 1308 1402 1744 1836 1853 1962 2103 2448 2616 2804 2943 3672 3706 3924 4206 5232 5559 5608 5886 6309 7344 7412 7848 8412 11118 11216 11772 11917 12618 14824 15696 16677 16824 18927 22236 23544 23834 25236 29648 33354 33648 35751 37854 44472 47088 47668 50031 50472 66708 71502 75708 76409 88944 95336 100062 100944 107253 133416 143004 151416 152818 190672 200124 214506 229227 266832 286008 302832 305636 321759 400248 429012 458454 572016 611272 643518 687681 800496 858024 916908 1222544 1287036 1298953 1375362 1716048 1833816 2063043 2574072 2597906 2750724 3667632 3896859 4126086 5148144 5195812 5501448 7793718 8252172 10391624 11002896 11690577 15587436 16504344 20783248 23381154 31174872 33008688 35071731 46762308 62349744 70143462 93524616 140286924 187049232 280573848 561147696