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86824134 = 23217476037
BaseRepresentation
bin1010010110011…
…01010011000110
320001101010022200
411023031103012
5134211333014
612340535330
72102664405
oct513152306
9201333280
1086824134
1145012291
12250b1546
1314cac537
14b76163c
157950a09
hex52cd4c6

86824134 has 48 divisors (see below), whose sum is σ = 203456448. Its totient is φ = 26654976.

The previous prime is 86824063. The next prime is 86824147. The reversal of 86824134 is 43142868.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11364 + ... + 17400.

It is an arithmetic number, because the mean of its divisors is an integer number (4238676).

Almost surely, 286824134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86824134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101728224).

86824134 is an abundant number, since it is smaller than the sum of its proper divisors (116632314).

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

86824134 is a wasteful number, since it uses less digits than its factorization.

86824134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6106 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 86824134 is about 9317.9468768608. The cubic root of 86824134 is about 442.8059896419.

The spelling of 86824134 in words is "eighty-six million, eight hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 2397 4794 6037 7191 12074 14382 18111 36222 54333 102629 108666 205258 283739 307887 567478 615774 851217 923661 1702434 1847322 2553651 4823563 5107302 9647126 14470689 28941378 43412067 86824134