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572405625 = 3254112292
BaseRepresentation
bin100010000111100…
…011011101111001
31110220002012220100
4202013203131321
52133013440000
6132444350013
720120240031
oct4207433571
91426065810
10572405625
11274120900
1213b845309
139178686c
14560428c1
15353bba00
hex221e3779

572405625 has 135 divisors (see below), whose sum is σ = 1176153979. Its totient is φ = 267960000.

The previous prime is 572405611. The next prime is 572405641. The reversal of 572405625 is 526504275.

The square root of 572405625 is 23925.

It is a perfect power (a square), and thus also a powerful number.

572405625 is a `hidden beast` number, since 5 + 7 + 24 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 428117481 + 144288144 = 20691^2 + 12012^2 .

It is not a de Polignac number, because 572405625 - 229 = 35534713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 572405625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19738111 + ... + 19738139.

Almost surely, 2572405625 is an apocalyptic number.

572405625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

572405625 is the 23925-th square number.

572405625 is the 11963-rd centered octagonal number.

It is an amenable number.

572405625 is an abundant number, since it is smaller than the sum of its proper divisors (603748354).

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

572405625 is a wasteful number, since it uses less digits than its factorization.

572405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 572405625 is about 830.2992219645.

Multiplying 572405625 by its sum of digits (36), we get a square (20606602500 = 1435502).

The spelling of 572405625 in words is "five hundred seventy-two million, four hundred five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 121 125 145 165 225 261 275 319 363 375 435 495 605 625 725 825 841 957 1089 1125 1305 1375 1595 1815 1875 2175 2475 2523 2871 3025 3509 3625 4125 4205 4785 5445 5625 6525 6875 7569 7975 9075 9251 10527 10875 12375 12615 14355 15125 17545 18125 20625 21025 23925 27225 27753 31581 32625 37845 39875 45375 46255 52635 54375 61875 63075 71775 75625 83259 87725 101761 105125 119625 136125 138765 157905 163125 189225 199375 226875 231275 263175 305283 315375 358875 416295 438625 508805 525625 598125 680625 693825 789525 915849 946125 1156375 1315875 1526415 1576875 1794375 2081475 2193125 2544025 3469125 3947625 4579245 4730625 5781875 6579375 7632075 10407375 12720125 17345625 19738125 22896225 38160375 52036875 63600625 114481125 190801875 572405625