Search a number
-
+
85318332 = 223111813571
BaseRepresentation
bin1010001010111…
…01101010111100
312221112121202020
411011131222330
5133320141312
612244400140
72054123331
oct505355274
9187477666
1085318332
1144183a20
12246a6050
13148a3028
14b48c988
15775478c
hex515dabc

85318332 has 48 divisors (see below), whose sum is σ = 218434944. Its totient is φ = 25704000.

The previous prime is 85318327. The next prime is 85318349. The reversal of 85318332 is 23381358.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 85318293 and 85318302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22107 + ... + 25677.

It is an arithmetic number, because the mean of its divisors is an integer number (4550728).

Almost surely, 285318332 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 85318332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109217472).

85318332 is an abundant number, since it is smaller than the sum of its proper divisors (133116612).

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

85318332 is a wasteful number, since it uses less digits than its factorization.

85318332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 85318332 is about 9236.7923003606. The cubic root of 85318332 is about 440.2311664077.

The spelling of 85318332 in words is "eighty-five million, three hundred eighteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3571 3982 5973 7142 7964 10713 11946 14284 21426 23892 39281 42852 78562 117843 157124 235686 471372 646351 1292702 1939053 2585404 3878106 7109861 7756212 14219722 21329583 28439444 42659166 85318332