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85262832 = 2432738111
BaseRepresentation
bin1010001010100…
…00000111110000
312221102210121200
411011100013300
5133311402312
612243251200
72053502454
oct505200760
9187383550
1085262832
1144146256
1224679b00
13148839a5
14b476664
1577430dc
hex51501f0

85262832 has 60 divisors (see below), whose sum is σ = 241916064. Its totient is φ = 28028160.

The previous prime is 85262831. The next prime is 85262857. The reversal of 85262832 is 23826258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85262831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6457 + ... + 14567.

Almost surely, 285262832 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 85262832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120958032).

85262832 is an abundant number, since it is smaller than the sum of its proper divisors (156653232).

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

85262832 is a wasteful number, since it uses less digits than its factorization.

85262832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198 (or 8189 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 85262832 is about 9233.7875219219. The cubic root of 85262832 is about 440.1356881794.

The spelling of 85262832 in words is "eighty-five million, two hundred sixty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 8111 10512 16222 24333 32444 48666 64888 72999 97332 129776 145998 194664 291996 389328 583992 592103 1167984 1184206 1776309 2368412 3552618 4736824 5328927 7105236 9473648 10657854 14210472 21315708 28420944 42631416 85262832