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563256320 = 21051173137
BaseRepresentation
bin100001100100101…
…001110000000000
31110020212101102012
4201210221300000
52123143200240
6131520312052
716646412464
oct4144516000
91406771365
10563256320
11269a418a0
12138772628
138c902283
1454b404a4
15346b0b65
hex21929c00

563256320 has 176 divisors, whose sum is σ = 1505085408. Its totient is φ = 200540160.

The previous prime is 563256307. The next prime is 563256383. The reversal of 563256320 is 23652365.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111292 + ... + 4111428.

Almost surely, 2563256320 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 563256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752542704).

563256320 is an abundant number, since it is smaller than the sum of its proper divisors (941829088).

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

563256320 is a wasteful number, since it uses less digits than its factorization.

563256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 563256320 is about 23733.0217208007. The cubic root of 563256320 is about 825.8516189173.

The spelling of 563256320 in words is "five hundred sixty-three million, two hundred fifty-six thousand, three hundred twenty".