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85618205 = 5171019973
BaseRepresentation
bin1010001101001…
…10111000011101
312222002212002122
411012212320131
5133404240310
612255032325
72056512521
oct506467035
9188085078
1085618205
1144369252
122480b6a5
131497967a
14b529d81
1577b3555
hex51a6e1d

85618205 has 16 divisors (see below), whose sum is σ = 109873584. Its totient is φ = 63820800.

The previous prime is 85618201. The next prime is 85618217. The reversal of 85618205 is 50281658.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2042041 + 83576164 = 1429^2 + 9142^2 .

It is not a de Polignac number, because 85618205 - 22 = 85618201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85618201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599 + ... + 13571.

It is an arithmetic number, because the mean of its divisors is an integer number (6867099).

Almost surely, 285618205 is an apocalyptic number.

85618205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85618205 is a deficient number, since it is larger than the sum of its proper divisors (24255379).

85618205 is a wasteful number, since it uses less digits than its factorization.

85618205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 85618205 is about 9253.0105911536. The cubic root of 85618205 is about 440.7463314913.

The spelling of 85618205 in words is "eighty-five million, six hundred eighteen thousand, two hundred five".

Divisors: 1 5 17 85 101 505 1717 8585 9973 49865 169541 847705 1007273 5036365 17123641 85618205