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85568625 = 3253233307
BaseRepresentation
bin1010001100110…
…10110001110001
312222000100002100
411012122301301
5133401144000
612254011013
72056215132
oct506326161
9188010070
1085568625
1144334a7a
12247a6a69
131495cc2c
14b515c89
1577a3a00
hex519ac71

85568625 has 48 divisors (see below), whose sum is σ = 161006976. Its totient is φ = 43639200.

The previous prime is 85568569. The next prime is 85568653. The reversal of 85568625 is 52686558.

85568625 is a `hidden beast` number, since 85 + 568 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 85568625 - 217 = 85437553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24222 + ... + 27528.

It is an arithmetic number, because the mean of its divisors is an integer number (3354312).

Almost surely, 285568625 is an apocalyptic number.

It is an amenable number.

85568625 is a deficient number, since it is larger than the sum of its proper divisors (75438351).

85568625 is a wasteful number, since it uses less digits than its factorization.

85568625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3338 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85568625 is about 9250.3310751562. The cubic root of 85568625 is about 440.6612389087.

The spelling of 85568625 in words is "eighty-five million, five hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 375 575 1035 1125 1725 2875 3307 5175 8625 9921 16535 25875 29763 49605 76061 82675 148815 228183 248025 380305 413375 684549 744075 1140915 1240125 1901525 3422745 3720375 5704575 9507625 17113725 28522875 85568625