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85131336 = 2335921019
BaseRepresentation
bin1010001001100…
…00000001001000
312221012010020110
411010300001020
5133243200321
612240354320
72052414213
oct504600110
9187163213
1085131336
1144066484
12246159a0
1314838b94
14b44077a
157719176
hex5130048

85131336 has 48 divisors (see below), whose sum is σ = 216709200. Its totient is φ = 27868768.

The previous prime is 85131317. The next prime is 85131337. The reversal of 85131336 is 63313158.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83035 + ... + 84053.

It is an arithmetic number, because the mean of its divisors is an integer number (4514775).

Almost surely, 285131336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85131336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108354600).

85131336 is an abundant number, since it is smaller than the sum of its proper divisors (131577864).

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

85131336 is a wasteful number, since it uses less digits than its factorization.

85131336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1083 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 85131336 is about 9226.6644026972. The cubic root of 85131336 is about 439.9093063762.

The spelling of 85131336 in words is "eighty-five million, one hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1019 1416 2038 3057 3481 4076 6114 6962 8152 10443 12228 13924 20886 24456 27848 41772 60121 83544 120242 180363 240484 360726 480968 721452 1442904 3547139 7094278 10641417 14188556 21282834 28377112 42565668 85131336