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566785152 = 27323159269
BaseRepresentation
bin100001110010000…
…111010010000000
31110111111200001200
4201302013102000
52130044111102
6132124101200
720021410563
oct4162072200
91414450050
10566785152
11270a3208a
12139994800
139056953b
14553bc4da
1534b5b51c
hex21c87480

566785152 has 192 divisors, whose sum is σ = 1718496000. Its totient is φ = 179066880.

The previous prime is 566785111. The next prime is 566785187. The reversal of 566785152 is 251587665.

566785152 is a `hidden beast` number, since 5 + 66 + 78 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 566785098 and 566785107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106874 + ... + 2107142.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2566785152 is an apocalyptic number.

566785152 is the 11904-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

566785152 is an abundant number, since it is smaller than the sum of its proper divisors (1151710848).

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

566785152 is a wasteful number, since it uses less digits than its factorization.

566785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 566785152 is about 23807.2499881864. The cubic root of 566785152 is about 827.5726983772.

The spelling of 566785152 in words is "five hundred sixty-six million, seven hundred eighty-five thousand, one hundred fifty-two".