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572679072 = 253772167
BaseRepresentation
bin100010001000100…
…110001110100000
31110220121010000000
4202020212032200
52133101212242
6132454300000
720122456200
oct4210461640
91426533000
10572679072
11274298299
1213b957600
1391851174
14560b4400
1535422a4c
hex222263a0

572679072 has 288 divisors, whose sum is σ = 1978784640. Its totient is φ = 162642816.

The previous prime is 572679071. The next prime is 572679101. The reversal of 572679072 is 270976275.

572679072 is a `hidden beast` number, since 572 + 6 + 7 + 9 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5726790722 = 655922639013562368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (572679071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429133 + ... + 3429299.

It is an arithmetic number, because the mean of its divisors is an integer number (6870780).

Almost surely, 2572679072 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 572679072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989392320).

572679072 is an abundant number, since it is smaller than the sum of its proper divisors (1406105568).

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

572679072 is an equidigital number, since it uses as much as digits as its factorization.

572679072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 572679072 is about 23930.7139885128. The cubic root of 572679072 is about 830.4314164999.

The spelling of 572679072 in words is "five hundred seventy-two million, six hundred seventy-nine thousand, seventy-two".