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86840424 = 23351131131
BaseRepresentation
bin1010010110100…
…01010001101000
320001101221200000
411023101101220
5134212343144
612341143000
72103063036
oct513212150
9201357600
1086840424
1145023550
12250baa60
1314cb6a88
14b767556
157955769
hex52d1468

86840424 has 192 divisors, whose sum is σ = 276756480. Its totient is φ = 25272000.

The previous prime is 86840423. The next prime is 86840459. The reversal of 86840424 is 42404868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86840423) 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 47 ways as a sum of consecutive naturals, for example, 662839 + ... + 662969.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 286840424 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 86840424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

86840424 is an abundant number, since it is smaller than the sum of its proper divisors (189916056).

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

86840424 is a wasteful number, since it uses less digits than its factorization.

86840424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 86840424 is about 9318.8209554643. The cubic root of 86840424 is about 442.8336810919.

Subtracting from 86840424 its reverse (42404868), we obtain a square (44435556 = 66662).

The spelling of 86840424 in words is "eighty-six million, eight hundred forty thousand, four hundred twenty-four".