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85680425 = 52174492
BaseRepresentation
bin1010001101101…
…10000100101001
312222020000110002
411012312010221
5133413233200
612300232345
72060162105
oct506660451
9188200402
1085680425
1144400a76
122483b6b5
131499ba9c
14b544905
1577c6bd5
hex51b6129

85680425 has 18 divisors (see below), whose sum is σ = 112744458. Its totient is φ = 64368640.

The previous prime is 85680407. The next prime is 85680433. The reversal of 85680425 is 52408658.

It can be written as a sum of positive squares in 9 ways, for example, as 6310144 + 79370281 = 2512^2 + 8909^2 .

It is not a de Polignac number, because 85680425 - 212 = 85676329 is a prime.

It is a super-2 number, since 2×856804252 = 14682270456361250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190601 + ... + 191049.

It is an arithmetic number, because the mean of its divisors is an integer number (6263581).

Almost surely, 285680425 is an apocalyptic number.

85680425 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85680425 is a deficient number, since it is larger than the sum of its proper divisors (27064033).

85680425 is an equidigital number, since it uses as much as digits as its factorization.

85680425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 85680425 is about 9256.3721295116. The cubic root of 85680425 is about 440.8530712378.

The spelling of 85680425 in words is "eighty-five million, six hundred eighty thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 425 449 2245 7633 11225 38165 190825 201601 1008005 3427217 5040025 17136085 85680425