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81862732 = 22724161167
BaseRepresentation
bin1001110000100…
…10000001001100
312201001001120001
410320102001030
5131424101412
612042334044
72012551600
oct470220114
9181031501
1081862732
1142233756
12234ba324
1313c631b3
14ac2d500
1572c0957
hex4e1204c

81862732 has 72 divisors (see below), whose sum is σ = 174551328. Its totient is φ = 33465600.

The previous prime is 81862721. The next prime is 81862733. The reversal of 81862732 is 23726818.

It is a junction number, because it is equal to n+sod(n) for n = 81862691 and 81862700.

It is not an unprimeable number, because it can be changed into a prime (81862733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490113 + ... + 490279.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 281862732 is an apocalyptic number.

81862732 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81862732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87275664).

81862732 is an abundant number, since it is smaller than the sum of its proper divisors (92688596).

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

81862732 is a wasteful number, since it uses less digits than its factorization.

81862732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 81862732 is about 9047.8026061580. The cubic root of 81862732 is about 434.2055911125.

The spelling of 81862732 in words is "eighty-one million, eight hundred sixty-two thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 49 61 82 98 122 164 167 196 244 287 334 427 574 668 854 1148 1169 1708 2009 2338 2501 2989 4018 4676 5002 5978 6847 8036 8183 10004 10187 11956 13694 16366 17507 20374 27388 32732 35014 40748 47929 70028 71309 95858 122549 142618 191716 245098 285236 335503 417667 490196 499163 671006 835334 998326 1342012 1670668 1996652 2923669 5847338 11694676 20465683 40931366 81862732