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563144040 = 23325171929167
BaseRepresentation
bin100001100100001…
…110010101101000
31110020122200101200
4201210032111220
52123131102130
6131514044200
716645434234
oct4144162550
91406580350
10563144040
112699754a8
12138719660
138c893134
1454b115c4
153468c760
hex2190e568

563144040 has 384 divisors, whose sum is σ = 2122848000. Its totient is φ = 128507904.

The previous prime is 563144017. The next prime is 563144041. The reversal of 563144040 is 40441365.

It is a junction number, because it is equal to n+sod(n) for n = 563143995 and 563144013.

It is not an unprimeable number, because it can be changed into a prime (563144041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3372037 + ... + 3372203.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2563144040 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 563144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

563144040 is an abundant number, since it is smaller than the sum of its proper divisors (1559703960).

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

563144040 is a wasteful number, since it uses less digits than its factorization.

563144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 563144040 is about 23730.6561224084. The cubic root of 563144040 is about 825.7967399462.

The spelling of 563144040 in words is "five hundred sixty-three million, one hundred forty-four thousand, forty".