Search a number
-
+
85333193 = 112792113
BaseRepresentation
bin1010001011000…
…01010011001001
312221120101010122
411011201103021
5133321130233
612244553025
72054214551
oct505412311
9187511118
1085333193
1144194100
12246b2775
13148a9a1a
14b494161
157758d98
hex51614c9

85333193 has 18 divisors (see below), whose sum is σ = 95839002. Its totient is φ = 75915840.

The previous prime is 85333189. The next prime is 85333229. The reversal of 85333193 is 39133358.

It can be written as a sum of positive squares in only one way, i.e., 48330304 + 37002889 = 6952^2 + 6083^2 .

It is not a de Polignac number, because 85333193 - 22 = 85333189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85333103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 755105 + ... + 755217.

It is an arithmetic number, because the mean of its divisors is an integer number (5324389).

Almost surely, 285333193 is an apocalyptic number.

It is an amenable number.

85333193 is a deficient number, since it is larger than the sum of its proper divisors (10505809).

85333193 is a wasteful number, since it uses less digits than its factorization.

85333193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 203 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 85333193 is about 9237.5967112664. The cubic root of 85333193 is about 440.2567251804.

The spelling of 85333193 in words is "eighty-five million, three hundred thirty-three thousand, one hundred ninety-three".

Divisors: 1 11 79 113 121 869 1243 6241 8927 9559 13673 68651 98197 705233 755161 1080167 7757563 85333193