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85365942 = 2317836921
BaseRepresentation
bin1010001011010…
…01010010110110
312221122001001120
411011221102312
5133323202232
612245404410
72054412204
oct505512266
9187561046
1085365942
1144206772
1224709706
13148bb8bc
14b4a2074
15776392c
hex51694b6

85365942 has 16 divisors (see below), whose sum is σ = 180775152. Its totient is φ = 26781440.

The previous prime is 85365923. The next prime is 85365947. The reversal of 85365942 is 24956358.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 85365894 and 85365903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85365947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 418359 + ... + 418562.

It is an arithmetic number, because the mean of its divisors is an integer number (11298447).

Almost surely, 285365942 is an apocalyptic number.

85365942 is an abundant number, since it is smaller than the sum of its proper divisors (95409210).

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

85365942 is a wasteful number, since it uses less digits than its factorization.

85365942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836943.

The product of its digits is 259200, while the sum is 42.

The square root of 85365942 is about 9239.3691343078. The cubic root of 85365942 is about 440.3130382552.

It can be divided in two parts, 853 and 65942, that added together give a triangular number (66795 = T365).

The spelling of 85365942 in words is "eighty-five million, three hundred sixty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 836921 1673842 2510763 5021526 14227657 28455314 42682971 85365942