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86397384 = 23323281557
BaseRepresentation
bin1010010011001…
…01000111001000
320000120102221010
411021211013020
5134104204014
612323443520
72066236263
oct511450710
9200512833
1086397384
11448506a7
1224b265a0
1314b90218
14b68dcda
1578b9359
hex52651c8

86397384 has 64 divisors (see below), whose sum is σ = 226592640. Its totient is φ = 27399680.

The previous prime is 86397379. The next prime is 86397397. The reversal of 86397384 is 48379368.

It is an unprimeable number.

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, 154834 + ... + 155390.

It is an arithmetic number, because the mean of its divisors is an integer number (3540510).

Almost surely, 286397384 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 86397384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113296320).

86397384 is an abundant number, since it is smaller than the sum of its proper divisors (140195256).

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

86397384 is a wasteful number, since it uses less digits than its factorization.

86397384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 866 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 86397384 is about 9295.0193114377. The cubic root of 86397384 is about 442.0793180203.

The spelling of 86397384 in words is "eighty-six million, three hundred ninety-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 281 552 557 562 843 1114 1124 1671 1686 2228 2248 3342 3372 4456 6463 6684 6744 12811 12926 13368 19389 25622 25852 38433 38778 51244 51704 76866 77556 102488 153732 155112 156517 307464 313034 469551 626068 939102 1252136 1878204 3599891 3756408 7199782 10799673 14399564 21599346 28799128 43198692 86397384