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864240525 = 325223253137
BaseRepresentation
bin110011100000110…
…100001110001101
32020020012222010100
4303200310032031
53232221144100
6221431401313
730262631451
oct6340641615
92206188110
10864240525
11403928775
12201523239
1310a086035
1482acc661
1550d16400
hex3383438d

864240525 has 108 divisors (see below), whose sum is σ = 1660745268. Its totient is φ = 429411840.

The previous prime is 864240523. The next prime is 864240541. The reversal of 864240525 is 525042468.

It is a happy number.

864240525 is a `hidden beast` number, since 8 + 642 + 4 + 0 + 5 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 233289 + 864007236 = 483^2 + 29394^2 .

It is not a de Polignac number, because 864240525 - 21 = 864240523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 864240525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864240523) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6308257 + ... + 6308393.

It is an arithmetic number, because the mean of its divisors is an integer number (15377271).

Almost surely, 2864240525 is an apocalyptic number.

It is an amenable number.

864240525 is a deficient number, since it is larger than the sum of its proper divisors (796504743).

864240525 is a wasteful number, since it uses less digits than its factorization.

864240525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 864240525 is about 29397.9680420263. The cubic root of 864240525 is about 952.5290048414.

The spelling of 864240525 in words is "eight hundred sixty-four million, two hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 53 69 75 115 137 159 207 225 265 345 411 477 529 575 685 795 1035 1219 1233 1325 1587 1725 2055 2385 2645 3151 3425 3657 3975 4761 5175 6095 6165 7261 7935 9453 10275 10971 11925 13225 15755 18285 21783 23805 28037 28359 30475 30825 36305 39675 47265 54855 65349 72473 78775 84111 91425 108915 119025 140185 141795 167003 181525 217419 236325 252333 274275 326745 362365 420555 501009 544575 652257 700925 708975 835015 1087095 1261665 1503027 1633725 1811825 2102775 2505045 3261285 3841069 4175075 5435475 6308325 7515135 11523207 12525225 16306425 19205345 34569621 37575675 57616035 96026725 172848105 288080175 864240525