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85993182 = 23211232821
BaseRepresentation
bin1010010000000…
…10011011011110
312222210220110200
411020002123132
5134003240212
612311044330
72062633662
oct510023336
9188726420
1085993182
11445a4a50
12249706a6
1314a7b252
14b5c68a2
1578396dc
hex52026de

85993182 has 72 divisors (see below), whose sum is σ = 212736888. Its totient is φ = 24895200.

The previous prime is 85993181. The next prime is 85993199. The reversal of 85993182 is 28139958.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85993181) 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, 104332 + ... + 105152.

It is an arithmetic number, because the mean of its divisors is an integer number (2954679).

Almost surely, 285993182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85993182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106368444).

85993182 is an abundant number, since it is smaller than the sum of its proper divisors (126743706).

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

85993182 is a wasteful number, since it uses less digits than its factorization.

85993182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 860 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 85993182 is about 9273.2508862858. The cubic root of 85993182 is about 441.3888313290.

It can be divided in two parts, 8599 and 3182, that added together give a triangular number (11781 = T153).

The spelling of 85993182 in words is "eighty-five million, nine hundred ninety-three thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 529 759 821 1058 1518 1587 1642 2277 2463 3174 4554 4761 4926 5819 7389 9031 9522 11638 14778 17457 18062 18883 27093 34914 37766 52371 54186 56649 81279 104742 113298 162558 169947 207713 339894 415426 434309 623139 868618 1246278 1302927 1869417 2605854 3738834 3908781 4777399 7817562 9554798 14332197 28664394 42996591 85993182