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563121328 = 2472111723167
BaseRepresentation
bin100001100100001…
…000110010110000
31110020121112020111
4201210020302300
52123124340303
6131513351104
716645311100
oct4144106260
91406545214
10563121328
1126995a430
12138708494
138c8859b3
1454b07200
1534685b6d
hex21908cb0

563121328 has 240 divisors, whose sum is σ = 1538901504. Its totient is φ = 196331520.

The previous prime is 563121281. The next prime is 563121329. The reversal of 563121328 is 823121365.

Its product of digits (8640) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 563121328.

It is not an unprimeable number, because it can be changed into a prime (563121329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3371901 + ... + 3372067.

Almost surely, 2563121328 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 563121328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752).

563121328 is an abundant number, since it is smaller than the sum of its proper divisors (975780176).

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

563121328 is a wasteful number, since it uses less digits than its factorization.

563121328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 563121328 is about 23730.1775804565. The cubic root of 563121328 is about 825.7856381402.

The spelling of 563121328 in words is "five hundred sixty-three million, one hundred twenty-one thousand, three hundred twenty-eight".