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563983056 = 2432713193223
BaseRepresentation
bin100001100111011…
…011001011010000
31110022020022022100
4201213123023100
52123334424211
6131544040400
716655530320
oct4147331320
91408208270
10563983056
1126a3988aa
12138a63100
138cac7cb0
1454c8d280
15347a6156
hex219db2d0

563983056 has 240 divisors, whose sum is σ = 1961430016. Its totient is φ = 147308544.

The previous prime is 563983051. The next prime is 563983103. The reversal of 563983056 is 650389365.

563983056 is a `hidden beast` number, since 5 + 639 + 8 + 3 + 0 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563983051) 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, 2528961 + ... + 2529183.

Almost surely, 2563983056 is an apocalyptic number.

563983056 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 563983056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980715008).

563983056 is an abundant number, since it is smaller than the sum of its proper divisors (1397446960).

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

563983056 is a wasteful number, since it uses less digits than its factorization.

563983056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 563983056 is about 23748.3274358427. The cubic root of 563983056 is about 826.2066486151.

The spelling of 563983056 in words is "five hundred sixty-three million, nine hundred eighty-three thousand, fifty-six".