Search a number
-
+
85133994 = 231117233299
BaseRepresentation
bin1010001001100…
…00101010101010
312221012020212220
411010300222222
5133243241434
612240414510
72052425031
oct504605252
9187166786
1085133994
1144068480
1224617436
131483a15a
14b441718
157719d49
hex5130aaa

85133994 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 23217920.

The previous prime is 85133989. The next prime is 85134001. The reversal of 85133994 is 49933158.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24157 + ... + 27455.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 285133994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85133994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

85133994 is an abundant number, since it is smaller than the sum of its proper divisors (120152406).

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

85133994 is a wasteful number, since it uses less digits than its factorization.

85133994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355.

The product of its digits is 116640, while the sum is 42.

The square root of 85133994 is about 9226.8084406256. The cubic root of 85133994 is about 439.9138846620.

The spelling of 85133994 in words is "eighty-five million, one hundred thirty-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 506 561 759 782 1122 1173 1518 2346 3299 4301 6598 8602 9897 12903 19794 25806 36289 56083 72578 75877 108867 112166 151754 168249 217734 227631 336498 455262 616913 834647 1233826 1289909 1669294 1850739 2503941 2579818 3701478 3869727 5007882 7739454 14188999 28377998 42566997 85133994