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561820896 = 253271321797
BaseRepresentation
bin100001011111001…
…011010011100000
31110011011110101100
4201133023103200
52122311232041
6131425434400
716631253540
oct4137132340
91404143340
10561820896
1126915139a
1213819ba00
138c51bb00
1454889320
15344ca6b6
hex217cb4e0

561820896 has 432 divisors, whose sum is σ = 2115064224. Its totient is φ = 138018816.

The previous prime is 561820873. The next prime is 561820907. The reversal of 561820896 is 698028165.

561820896 is a `hidden beast` number, since 5 + 618 + 20 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5791920 + ... + 5792016.

It is an arithmetic number, because the mean of its divisors is an integer number (4895982).

Almost surely, 2561820896 is an apocalyptic number.

561820896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561820896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057532112).

561820896 is an abundant number, since it is smaller than the sum of its proper divisors (1553243328).

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

561820896 is a wasteful number, since it uses less digits than its factorization.

561820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 561820896 is about 23702.7613581203. The cubic root of 561820896 is about 825.1494781492.

The spelling of 561820896 in words is "five hundred sixty-one million, eight hundred twenty thousand, eight hundred ninety-six".