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86209764 = 223191033671
BaseRepresentation
bin1010010001101…
…11010011100100
320000012220120020
411020313103210
5134032203024
612315435140
72064525264
oct510672344
9200186506
1086209764
1144732743
1224a55ab0
1314b259c4
14b6417a4
15787d979
hex52374e4

86209764 has 48 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 26952480.

The previous prime is 86209763. The next prime is 86209769. The reversal of 86209764 is 46790268.

It is not an unprimeable number, because it can be changed into a prime (86209763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21649 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 286209764 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 86209764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

86209764 is an abundant number, since it is smaller than the sum of its proper divisors (127647516).

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

86209764 is a wasteful number, since it uses less digits than its factorization.

86209764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86209764 is about 9284.9213243840. The cubic root of 86209764 is about 441.7590805711.

The spelling of 86209764 in words is "eighty-six million, two hundred nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 412 618 1236 1957 3671 3914 5871 7342 7828 11013 11742 14684 22026 23484 44052 69749 139498 209247 278996 378113 418494 756226 836988 1134339 1512452 2268678 4537356 7184147 14368294 21552441 28736588 43104882 86209764