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85512825 = 32521983241
BaseRepresentation
bin1010001100011…
…01001001111001
312221220111112200
411012031021321
5133342402300
612252500413
72055563346
oct506151171
9187814480
1085512825
11442a7062
122477a709
1314940708
14b4dd7cd
157792200
hex518d279

85512825 has 72 divisors (see below), whose sum is σ = 163843680. Its totient is φ = 42508800.

The previous prime is 85512821. The next prime is 85512829. The reversal of 85512825 is 52821558.

It is an interprime number because it is at equal distance from previous prime (85512821) and next prime (85512829).

It is not a de Polignac number, because 85512825 - 22 = 85512821 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85512825.

It is not an unprimeable number, because it can be changed into a prime (85512821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354705 + ... + 354945.

Almost surely, 285512825 is an apocalyptic number.

It is an amenable number.

85512825 is a deficient number, since it is larger than the sum of its proper divisors (78330855).

85512825 is a wasteful number, since it uses less digits than its factorization.

85512825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 85512825 is about 9247.3144750246. The cubic root of 85512825 is about 440.5654318145.

The spelling of 85512825 in words is "eighty-five million, five hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 83 95 171 225 241 249 285 415 475 723 747 855 1205 1245 1425 1577 2075 2169 3615 3735 4275 4579 4731 6025 6225 7885 10845 13737 14193 18075 18675 20003 22895 23655 39425 41211 54225 60009 68685 70965 100015 114475 118275 180027 206055 300045 343425 354825 380057 500075 900135 1030275 1140171 1500225 1900285 3420513 4500675 5700855 9501425 17102565 28504275 85512825