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525267972 = 223217858281
BaseRepresentation
bin11111010011101…
…111010000000100
31100121101101012100
4133103233100010
52033432033342
6124042152100
716005463335
oct3723572004
91317341170
10525267972
1124a555669
12127ab2630
1384a91268
144da9228c
15311a9e4c
hex1f4ef404

525267972 has 36 divisors (see below), whose sum is σ = 1405865916. Its totient is φ = 164789760.

The previous prime is 525267971. The next prime is 525267979. The reversal of 525267972 is 279762525.

525267972 is a `hidden beast` number, since 52 + 526 + 7 + 9 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 459073476 + 66194496 = 21426^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (525267971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428529 + ... + 429752.

It is an arithmetic number, because the mean of its divisors is an integer number (39051831).

Almost surely, 2525267972 is an apocalyptic number.

It is an amenable number.

525267972 is an abundant number, since it is smaller than the sum of its proper divisors (880597944).

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

525267972 is a wasteful number, since it uses less digits than its factorization.

525267972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858308 (or 858303 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 525267972 is about 22918.7253572270. The cubic root of 525267972 is about 806.8515548094.

It can be divided in two parts, 52 and 5267972, that added together give a cube (5268024 = 1743).

The spelling of 525267972 in words is "five hundred twenty-five million, two hundred sixty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 858281 1716562 2574843 3433124 5149686 7724529 10299372 14590777 15449058 29181554 30898116 43772331 58363108 87544662 131316993 175089324 262633986 525267972