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563315040 = 25335196863
BaseRepresentation
bin100001100100111…
…000000101100000
31110020222100222000
4201210320011200
52123202040130
6131521444000
716650045621
oct4144700540
91406870860
10563315040
11269a81a22
121387a0600
138c922c12
1454b57a48
15346c3260
hex21938160

563315040 has 192 divisors, whose sum is σ = 2075673600. Its totient is φ = 142290432.

The previous prime is 563314993. The next prime is 563315117. The reversal of 563315040 is 40513365.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 563314995 and 563315013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78649 + ... + 85511.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2563315040 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 563315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

563315040 is an abundant number, since it is smaller than the sum of its proper divisors (1512358560).

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

563315040 is a wasteful number, since it uses less digits than its factorization.

563315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 563315040 is about 23734.2587834548. The cubic root of 563315040 is about 825.8803165222.

The spelling of 563315040 in words is "five hundred sixty-three million, three hundred fifteen thousand, forty".