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563474016 = 25337151617
BaseRepresentation
bin100001100101011…
…110111001100000
31110021021110001000
4201211132321200
52123222132031
6131525112000
716651310250
oct4145367140
91407243030
10563474016
1126a080406
12138858600
138c97a3a1
1454b99960
15347053e6
hex2195ee60

563474016 has 192 divisors, whose sum is σ = 1893749760. Its totient is φ = 159667200.

The previous prime is 563473997. The next prime is 563474039. The reversal of 563474016 is 610474365.

It is a happy number.

563474016 is a `hidden beast` number, since 5 + 634 + 7 + 4 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 912940 + ... + 913556.

It is an arithmetic number, because the mean of its divisors is an integer number (9863280).

Almost surely, 2563474016 is an apocalyptic number.

563474016 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 563474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946874880).

563474016 is an abundant number, since it is smaller than the sum of its proper divisors (1330275744).

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

563474016 is a wasteful number, since it uses less digits than its factorization.

563474016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 563474016 is about 23737.6076300877. The cubic root of 563474016 is about 825.9580011751.

The spelling of 563474016 in words is "five hundred sixty-three million, four hundred seventy-four thousand, sixteen".