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85660025 = 52111773251
BaseRepresentation
bin1010001101100…
…01000101111001
312222011222110112
411012301011321
5133412110100
612255554105
72060045453
oct506610571
9188158415
1085660025
1144397710
122482b935
1314992709
14b53b2d3
1577c0b35
hex51b1179

85660025 has 48 divisors (see below), whose sum is σ = 124867008. Its totient is φ = 57600000.

The previous prime is 85660013. The next prime is 85660033. The reversal of 85660025 is 52006658.

It is a happy number.

It is not a de Polignac number, because 85660025 - 210 = 85659001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85659973 and 85660000.

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, 341150 + ... + 341400.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 285660025 is an apocalyptic number.

85660025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85660025 is a deficient number, since it is larger than the sum of its proper divisors (39206983).

85660025 is a wasteful number, since it uses less digits than its factorization.

85660025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 85660025 is about 9255.2701203152. The cubic root of 85660025 is about 440.8180802951.

The spelling of 85660025 in words is "eighty-five million, six hundred sixty thousand, twenty-five".

Divisors: 1 5 11 17 25 55 73 85 187 251 275 365 425 803 935 1241 1255 1825 2761 4015 4267 4675 6205 6275 13651 13805 18323 20075 21335 31025 46937 68255 69025 91615 106675 201553 234685 311491 341275 458075 1007765 1173425 1557455 3426401 5038825 7787275 17132005 85660025