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85325268 = 22372312151
BaseRepresentation
bin1010001010111…
…11010111010100
312221112222021010
411011133113110
5133320402033
612244452220
72054152500
oct505372724
9187488233
1085325268
1144189156
12246aa070
13148a6232
14b491300
157756863
hex515f5d4

85325268 has 108 divisors (see below), whose sum is σ = 240893856. Its totient is φ = 23436000.

The previous prime is 85325267. The next prime is 85325281. The reversal of 85325268 is 86252358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85325263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564993 + ... + 565143.

Almost surely, 285325268 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 85325268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120446928).

85325268 is an abundant number, since it is smaller than the sum of its proper divisors (155568588).

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

85325268 is a wasteful number, since it uses less digits than its factorization.

85325268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 85325268 is about 9237.1677477461. The cubic root of 85325268 is about 440.2430956948.

The spelling of 85325268 in words is "eighty-five million, three hundred twenty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 151 186 196 217 294 302 372 434 453 588 604 651 868 906 961 1057 1302 1519 1812 1922 2114 2604 2883 3038 3171 3844 4228 4557 4681 5766 6076 6342 6727 7399 9114 9362 11532 12684 13454 14043 14798 18228 18724 20181 22197 26908 28086 29596 32767 40362 44394 47089 56172 65534 80724 88788 94178 98301 131068 141267 145111 188356 196602 229369 282534 290222 393204 435333 458738 565068 580444 688107 870666 917476 1015777 1376214 1741332 2031554 2752428 3047331 4063108 6094662 7110439 12189324 14220878 21331317 28441756 42662634 85325268