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85704125 = 531324057
BaseRepresentation
bin1010001101110…
…11110110111101
312222021012221212
411012323312331
5133420013000
612300534205
72060321153
oct506736675
9188235855
1085704125
1144417861
1224851365
13149a9800
14b54d3d3
1577cdc35
hex51bbdbd

85704125 has 24 divisors (see below), whose sum is σ = 115847784. Its totient is φ = 63273600.

The previous prime is 85704121. The next prime is 85704149. The reversal of 85704125 is 52140758.

It can be written as a sum of positive squares in 12 ways, for example, as 82700836 + 3003289 = 9094^2 + 1733^2 .

It is not a de Polignac number, because 85704125 - 22 = 85704121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85704091 and 85704100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85704121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19097 + ... + 23153.

It is an arithmetic number, because the mean of its divisors is an integer number (4826991).

Almost surely, 285704125 is an apocalyptic number.

It is an amenable number.

85704125 is a deficient number, since it is larger than the sum of its proper divisors (30143659).

85704125 is a wasteful number, since it uses less digits than its factorization.

85704125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 85704125 is about 9257.6522401741. The cubic root of 85704125 is about 440.8937155062.

The spelling of 85704125 in words is "eighty-five million, seven hundred four thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 845 1625 4057 4225 20285 21125 52741 101425 263705 507125 685633 1318525 3428165 6592625 17140825 85704125