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561687696 = 2435731979
BaseRepresentation
bin100001011110101…
…010110010010000
31110010220200200000
4201132222302100
52122243001241
6131422530000
716630160313
oct4136526220
91403820600
10561687696
11269070309
12138136900
138c4a32ab
145485297a
15344a0eb6
hex217aac90

561687696 has 120 divisors (see below), whose sum is σ = 1653331680. Its totient is φ = 184571136.

The previous prime is 561687677. The next prime is 561687703. The reversal of 561687696 is 696786165.

561687696 is a `hidden beast` number, since 561 + 6 + 8 + 76 + 9 + 6 = 666.

It is a super-3 number, since 3×5616876963 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282835 + ... + 284813.

It is an arithmetic number, because the mean of its divisors is an integer number (13777764).

Almost surely, 2561687696 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 561687696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826665840).

561687696 is an abundant number, since it is smaller than the sum of its proper divisors (1091643984).

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

561687696 is a wasteful number, since it uses less digits than its factorization.

561687696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2057 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 561687696 is about 23699.9513923552. The cubic root of 561687696 is about 825.0842624678.

The spelling of 561687696 in words is "five hundred sixty-one million, six hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 486 584 648 657 876 972 1168 1296 1314 1752 1944 1971 1979 2628 3504 3888 3942 3958 5256 5913 5937 7884 7916 10512 11826 11874 15768 15832 17739 17811 23652 23748 31536 31664 35478 35622 47304 47496 53433 70956 71244 94608 94992 106866 141912 142488 144467 160299 213732 283824 284976 288934 320598 427464 433401 480897 577868 641196 854928 866802 961794 1155736 1282392 1300203 1733604 1923588 2311472 2564784 2600406 3467208 3847176 3900609 5200812 6934416 7694352 7801218 10401624 11701827 15602436 20803248 23403654 31204872 35105481 46807308 62409744 70210962 93614616 140421924 187229232 280843848 561687696