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86397324 = 223131095081
BaseRepresentation
bin1010010011001…
…01000110001100
320000120102211220
411021211012030
5134104203244
612323443340
72066236146
oct511450614
9200512756
1086397324
1144850652
1224b26550
1314b901a0
14b68dc96
1578b9319
hex526518c

86397324 has 48 divisors (see below), whose sum is σ = 219135840. Its totient is φ = 26334720.

The previous prime is 86397317. The next prime is 86397329. The reversal of 86397324 is 42379368.

It is not an unprimeable number, because it can be changed into a prime (86397329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464 + ... + 19544.

It is an arithmetic number, because the mean of its divisors is an integer number (4565330).

Almost surely, 286397324 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 86397324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109567920).

86397324 is an abundant number, since it is smaller than the sum of its proper divisors (132738516).

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

86397324 is a wasteful number, since it uses less digits than its factorization.

86397324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5208 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 86397324 is about 9295.0160839022. The cubic root of 86397324 is about 442.0792156840.

The spelling of 86397324 in words is "eighty-six million, three hundred ninety-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4251 5081 5668 8502 10162 15243 17004 20324 30486 60972 66053 132106 198159 264212 396318 553829 792636 1107658 1661487 2215316 3322974 6645948 7199777 14399554 21599331 28799108 43198662 86397324