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572064 = 25359101
BaseRepresentation
bin10001011101010100000
31002001201120
42023222200
5121301224
620132240
74601553
oct2135240
91061646
10572064
11360889
12237080
131704cc
1410c69a
15b4779
hex8baa0

572064 has 48 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 185600.

The previous prime is 572063. The next prime is 572069. The reversal of 572064 is 460275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 572064.

It is not an unprimeable number, because it can be changed into a prime (572063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5614 + ... + 5714.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2572064 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 572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

572064 is an abundant number, since it is smaller than the sum of its proper divisors (970176).

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

572064 is a wasteful number, since it uses less digits than its factorization.

572064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 572064 is about 756.3491257349. The cubic root of 572064 is about 83.0134008459.

The spelling of 572064 in words is "five hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 101 118 177 202 236 303 354 404 472 606 708 808 944 1212 1416 1616 1888 2424 2832 3232 4848 5664 5959 9696 11918 17877 23836 35754 47672 71508 95344 143016 190688 286032 572064