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86385882 = 23114361499
BaseRepresentation
bin1010010011000…
…10010011011010
320000112212011010
411021202103122
5134103322012
612323314350
72066160612
oct511422332
9200485133
1086385882
1144842aa0
1224b1b9b6
1314b87c0b
14b689a42
1578b5c3c
hex52624da

86385882 has 64 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 25099200.

The previous prime is 86385881. The next prime is 86385883. The reversal of 86385882 is 28858368.

It is an interprime number because it is at equal distance from previous prime (86385881) and next prime (86385883).

It is not an unprimeable number, because it can be changed into a prime (86385881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172869 + ... + 173367.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 286385882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86385882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

86385882 is an abundant number, since it is smaller than the sum of its proper divisors (110030118).

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

86385882 is a wasteful number, since it uses less digits than its factorization.

86385882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619.

The product of its digits is 737280, while the sum is 48.

The square root of 86385882 is about 9294.4005723877. The cubic root of 86385882 is about 442.0596992860.

The spelling of 86385882 in words is "eighty-six million, three hundred eighty-five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 43 61 66 86 122 129 183 258 366 473 499 671 946 998 1342 1419 1497 2013 2623 2838 2994 4026 5246 5489 7869 10978 15738 16467 21457 28853 30439 32934 42914 57706 60878 64371 86559 91317 128742 173118 182634 236027 334829 472054 669658 708081 1004487 1308877 1416162 2008974 2617754 3926631 7853262 14397647 28795294 43192941 86385882