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85604085 = 3257299371
BaseRepresentation
bin1010001101000…
…11011011110101
312222002010201200
411012203123311
5133403312320
612254443113
72056423410
oct506433365
9188063650
1085604085
1144359686
1224803499
1314973108
14b524b77
1577ae290
hex51a36f5

85604085 has 48 divisors (see below), whose sum is σ = 175443840. Its totient is φ = 37779840.

The previous prime is 85604083. The next prime is 85604089. The reversal of 85604085 is 58040658.

It is a happy number.

It is not a de Polignac number, because 85604085 - 21 = 85604083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85604081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4450 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (3655080).

Almost surely, 285604085 is an apocalyptic number.

It is an amenable number.

85604085 is an abundant number, since it is smaller than the sum of its proper divisors (89839755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85604085 is a wasteful number, since it uses less digits than its factorization.

85604085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85604085 is about 9252.2475647812. The cubic root of 85604085 is about 440.7221011292.

The spelling of 85604085 in words is "eighty-five million, six hundred four thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 9371 28113 46855 65597 84339 140565 196791 271759 327985 421695 590373 815277 983955 1358795 1902313 2445831 2951865 4076385 5706939 9511565 12229155 17120817 28534695 85604085