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572904072 = 2332132932089
BaseRepresentation
bin100010001001011…
…101001010001000
31110221000112122100
4202021131022020
52133130412242
6132503153400
720124414156
oct4211351210
91427015570
10572904072
11274431344
1213ba45860
13918cc6c0
14561323d6
153546954c
hex2225d288

572904072 has 96 divisors (see below), whose sum is σ = 1677475800. Its totient is φ = 175592448.

The previous prime is 572904067. The next prime is 572904089. The reversal of 572904072 is 270409275.

It can be written as a sum of positive squares in 4 ways, for example, as 567678276 + 5225796 = 23826^2 + 2286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273204 + ... + 275292.

Almost surely, 2572904072 is an apocalyptic number.

572904072 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 572904072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838737900).

572904072 is an abundant number, since it is smaller than the sum of its proper divisors (1104571728).

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

572904072 is a wasteful number, since it uses less digits than its factorization.

572904072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 572904072 is about 23935.4145984564. The cubic root of 572904072 is about 830.5401583841.

The spelling of 572904072 in words is "five hundred seventy-two million, nine hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2089 2344 2637 3516 3809 4178 5274 6267 7032 7618 8356 10548 11427 12534 15236 16712 18801 21096 22854 25068 27157 30472 34281 37602 45708 50136 54314 68562 75204 81471 91416 108628 137124 150408 162942 217256 244413 274248 325884 488826 612077 651768 977652 1224154 1836231 1955304 2448308 3672462 4896616 5508693 7344924 7957001 11017386 14689848 15914002 22034772 23871003 31828004 44069544 47742006 63656008 71613009 95484012 143226018 190968024 286452036 572904072