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85373262 = 23213397919
BaseRepresentation
bin1010001011010…
…11000101001110
312221122102002200
411011223011032
5133323421022
612245502330
72054442432
oct505530516
9187572080
1085373262
1144211217
12247119a6
13148c2030
14b4a49c2
157765bac
hex516b14e

85373262 has 48 divisors (see below), whose sum is σ = 199923360. Its totient is φ = 26174016.

The previous prime is 85373257. The next prime is 85373279. The reversal of 85373262 is 26237358.

It is a super-3 number, since 3×853732623 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 92439 + ... + 93357.

It is an arithmetic number, because the mean of its divisors is an integer number (4165070).

Almost surely, 285373262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85373262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99961680).

85373262 is an abundant number, since it is smaller than the sum of its proper divisors (114550098).

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

85373262 is a wasteful number, since it uses less digits than its factorization.

85373262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1334 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 85373262 is about 9239.7652567584. The cubic root of 85373262 is about 440.3256232872.

The spelling of 85373262 in words is "eighty-five million, three hundred seventy-three thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 397 794 919 1191 1838 2382 2757 3573 5161 5514 7146 8271 10322 11947 15483 16542 23894 30966 35841 46449 71682 92898 107523 215046 364843 729686 1094529 2189058 3283587 4742959 6567174 9485918 14228877 28457754 42686631 85373262