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568064 = 287317
BaseRepresentation
bin10001010101100000000
31001212020102
42022230000
5121134224
620101532
74554110
oct2125400
91055212
10568064
11358882
122348a8
1316b743
1410b040
15b34ae
hex8ab00

568064 has 36 divisors (see below), whose sum is σ = 1299984. Its totient is φ = 242688.

The previous prime is 568049. The next prime is 568069. The reversal of 568064 is 460865.

It is not an unprimeable number, because it can be changed into a prime (568069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634 + ... + 1950.

2568064 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 568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649992).

568064 is an abundant number, since it is smaller than the sum of its proper divisors (731920).

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

568064 is an equidigital number, since it uses as much as digits as its factorization.

568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 568064 is about 753.7002056521. The cubic root of 568064 is about 82.8194653451.

It can be divided in two parts, 56 and 8064, that multiplied together give a square (451584 = 6722).

The spelling of 568064 in words is "five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 634 896 1268 1792 2219 2536 4438 5072 8876 10144 17752 20288 35504 40576 71008 81152 142016 284032 568064