Search a number
-
+
85322524 = 22721729883
BaseRepresentation
bin1010001010111…
…10101100011100
312221112211111111
411011132230130
5133320310044
612244431404
72054141500
oct505365434
9187484444
1085322524
1144187091
12246a8564
13148a4c01
14b490300
157755b34
hex515eb1c

85322524 has 72 divisors (see below), whose sum is σ = 190466640. Its totient is φ = 33191424.

The previous prime is 85322491. The next prime is 85322533. The reversal of 85322524 is 42522358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96187 + ... + 97069.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 285322524 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 85322524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95233320).

85322524 is an abundant number, since it is smaller than the sum of its proper divisors (105144116).

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

85322524 is a wasteful number, since it uses less digits than its factorization.

85322524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 85322524 is about 9237.0192161757. The cubic root of 85322524 is about 440.2383763425.

The spelling of 85322524 in words is "eighty-five million, three hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 29 34 49 58 68 98 116 119 196 203 238 406 476 493 812 833 883 986 1421 1666 1766 1972 2842 3332 3451 3532 5684 6181 6902 12362 13804 15011 24157 24724 25607 30022 43267 48314 51214 60044 86534 96628 102428 105077 173068 179249 210154 358498 420308 435319 716996 735539 870638 1254743 1471078 1741276 2509486 2942156 3047233 5018972 6094466 12188932 21330631 42661262 85322524