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85608435 = 35112917891
BaseRepresentation
bin1010001101001…
…00011111110011
312222002100200210
411012210133303
5133403432220
612254515203
72056442163
oct506443763
9188070623
1085608435
1144361980
1224805b03
13149750a3
14b5265a3
1577b06e0
hex51a47f3

85608435 has 32 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 40073600.

The previous prime is 85608427. The next prime is 85608449. The reversal of 85608435 is 53480658.

It is a happy number.

It is not a de Polignac number, because 85608435 - 23 = 85608427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85608393 and 85608402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4161 + ... + 13730.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 285608435 is an apocalyptic number.

85608435 is a deficient number, since it is larger than the sum of its proper divisors (68978445).

85608435 is a wasteful number, since it uses less digits than its factorization.

85608435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17939.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 85608435 is about 9252.4826398108. The cubic root of 85608435 is about 440.7295661494.

The spelling of 85608435 in words is "eighty-five million, six hundred eight thousand, four hundred thirty-five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 4785 17891 53673 89455 196801 268365 518839 590403 984005 1556517 2594195 2952015 5707229 7782585 17121687 28536145 85608435