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706542525 = 3252132171093
BaseRepresentation
bin101010000111001…
…111101110111101
31211020111002010200
4222013033232331
52421333330100
6154035354113
723336340513
oct5207175675
91736432120
10706542525
11332908947
12178752939
13b34c0300
1469b9c4b3
1542065e00
hex2a1cfbbd

706542525 has 108 divisors (see below), whose sum is σ = 1452265308. Its totient is φ = 327075840.

The previous prime is 706542517. The next prime is 706542533. The reversal of 706542525 is 525245607.

706542525 is a `hidden beast` number, since 70 + 65 + 4 + 2 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (706542517) and next prime (706542533).

It can be written as a sum of positive squares in 18 ways, for example, as 390378564 + 316163961 = 19758^2 + 17781^2 .

It is not a de Polignac number, because 706542525 - 23 = 706542517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 706542525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 645879 + ... + 646971.

It is an arithmetic number, because the mean of its divisors is an integer number (13446901).

Almost surely, 2706542525 is an apocalyptic number.

706542525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

706542525 is an abundant number, since it is smaller than the sum of its proper divisors (745722783).

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

706542525 is a wasteful number, since it uses less digits than its factorization.

706542525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1131 counting only the distinct ones).

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

The square root of 706542525 is about 26580.8676494956. The cubic root of 706542525 is about 890.6616823303.

The spelling of 706542525 in words is "seven hundred six million, five hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 169 195 221 225 255 325 425 507 585 663 765 845 975 1093 1105 1275 1521 1989 2535 2873 2925 3279 3315 3825 4225 5465 5525 7605 8619 9837 9945 12675 14209 14365 16395 16575 18581 25857 27325 38025 42627 43095 49185 49725 55743 71045 71825 81975 92905 127881 129285 167229 184717 213135 215475 241553 245925 278715 355225 464525 554151 639405 646425 724659 836145 923585 1065675 1207765 1393575 1662453 2173977 2770755 3140189 3197025 3623295 4180725 4617925 6038825 8312265 9420567 10869885 13853775 15700945 18116475 28261701 41561325 47102835 54349425 78504725 141308505 235514175 706542525