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561150656 = 26111575077
BaseRepresentation
bin100001011100100…
…111101011000000
31110002220101222122
4201130213223000
52122123310111
6131403223412
716622462513
oct4134475300
91402811878
10561150656
11268833880
12137b17b68
138c345a11
1454752d7a
15343e6cdb
hex21727ac0

561150656 has 56 divisors (see below), whose sum is σ = 1222741776. Its totient is φ = 253393920.

The previous prime is 561150649. The next prime is 561150659. The reversal of 561150656 is 656051165.

It is not an unprimeable number, because it can be changed into a prime (561150659) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107990 + ... + 113066.

Almost surely, 2561150656 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 561150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611370888).

561150656 is an abundant number, since it is smaller than the sum of its proper divisors (661591120).

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

561150656 is a wasteful number, since it uses less digits than its factorization.

561150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 561150656 is about 23688.6187018154. The cubic root of 561150656 is about 824.8212191727.

The spelling of 561150656 in words is "five hundred sixty-one million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 157 176 314 352 628 704 1256 1727 2512 3454 5024 5077 6908 10048 10154 13816 20308 27632 40616 55264 55847 81232 110528 111694 162464 223388 324928 446776 797089 893552 1594178 1787104 3188356 3574208 6376712 8767979 12753424 17535958 25506848 35071916 51013696 70143832 140287664 280575328 561150656