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85693525 = 5216012141
BaseRepresentation
bin1010001101110…
…01010001010101
312222020200102021
411012321101111
5133414143100
612300413141
72060245231
oct506712125
9188220367
1085693525
114440a8a5
12248471b1
13149a4a38
14b5495c1
1577caa1a
hex51b9455

85693525 has 12 divisors (see below), whose sum is σ = 106376004. Its totient is φ = 68480000.

The previous prime is 85693523. The next prime is 85693529. The reversal of 85693525 is 52539658.

It can be written as a sum of positive squares in 6 ways, for example, as 20439441 + 65254084 = 4521^2 + 8078^2 .

It is not a de Polignac number, because 85693525 - 21 = 85693523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85693523) 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 11 ways as a sum of consecutive naturals, for example, 38955 + ... + 41095.

It is an arithmetic number, because the mean of its divisors is an integer number (8864667).

Almost surely, 285693525 is an apocalyptic number.

It is an amenable number.

85693525 is a deficient number, since it is larger than the sum of its proper divisors (20682479).

85693525 is a wasteful number, since it uses less digits than its factorization.

85693525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3747 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 85693525 is about 9257.0797231092. The cubic root of 85693525 is about 440.8755379833.

The spelling of 85693525 in words is "eighty-five million, six hundred ninety-three thousand, five hundred twenty-five".

Divisors: 1 5 25 1601 2141 8005 10705 40025 53525 3427741 17138705 85693525