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572064012 = 223313433941
BaseRepresentation
bin100010000110010…
…000000100001100
31110212102212022000
4202012100010030
52132422022022
6132433152300
720114315052
oct4206200414
91425385260
10572064012
11273a08183
1213b6bb690
1391697220
1455d941d2
15353506ac
hex2219010c

572064012 has 96 divisors (see below), whose sum is σ = 1602605760. Its totient is φ = 175426560.

The previous prime is 572063977. The next prime is 572064013. The reversal of 572064012 is 210460275.

572064012 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 640 + 12 = 666.

It is a super-2 number, since 2×5720640122 = 654514467651072288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (572064013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607462 + ... + 608402.

It is an arithmetic number, because the mean of its divisors is an integer number (16693810).

Almost surely, 2572064012 is an apocalyptic number.

572064012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 572064012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801302880).

572064012 is an abundant number, since it is smaller than the sum of its proper divisors (1030541748).

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

572064012 is a wasteful number, since it uses less digits than its factorization.

572064012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 572064012 is about 23917.8596868533. The cubic root of 572064012 is about 830.1340142631.

The spelling of 572064012 in words is "five hundred seventy-two million, sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 433 468 702 866 941 1299 1404 1732 1882 2598 2823 3764 3897 5196 5629 5646 7794 8469 11258 11292 11691 12233 15588 16887 16938 22516 23382 24466 25407 33774 33876 36699 46764 48932 50661 50814 67548 73398 101322 101628 110097 146796 151983 202644 220194 303966 330291 407453 440388 607932 660582 814906 1222359 1321164 1629812 2444718 3667077 4889436 5296889 7334154 10593778 11001231 14668308 15890667 21187556 22002462 31781334 44004924 47672001 63562668 95344002 143016003 190688004 286032006 572064012