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561668544 = 26323672657
BaseRepresentation
bin100001011110100…
…110000111000000
31110010212201101200
4201132212013000
52122241343134
6131422301200
716630050423
oct4136460700
91403781350
10561668544
11269057988
12138127800
138c497668
14548499ba
153449a499
hex217a61c0

561668544 has 84 divisors (see below), whose sum is σ = 1614915744. Its totient is φ = 186642432.

The previous prime is 561668501. The next prime is 561668551. The reversal of 561668544 is 445866165.

561668544 is a `hidden beast` number, since 561 + 6 + 6 + 85 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 561668544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210064 + ... + 212720.

Almost surely, 2561668544 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 561668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807457872).

561668544 is an abundant number, since it is smaller than the sum of its proper divisors (1053247200).

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

561668544 is a wasteful number, since it uses less digits than its factorization.

561668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3029 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 561668544 is about 23699.5473374493. The cubic root of 561668544 is about 825.0748846626.

The spelling of 561668544 in words is "five hundred sixty-one million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 367 576 734 1101 1468 2202 2657 2936 3303 4404 5314 5872 6606 7971 8808 10628 11744 13212 15942 17616 21256 23488 23913 26424 31884 35232 42512 47826 52848 63768 70464 85024 95652 105696 127536 170048 191304 211392 255072 382608 510144 765216 975119 1530432 1950238 2925357 3900476 5850714 7800952 8776071 11701428 15601904 17552142 23402856 31203808 35104284 46805712 62407616 70208568 93611424 140417136 187222848 280834272 561668544