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82840023 = 3371632689
BaseRepresentation
bin1001111000000…
…00100111010111
312202212201011000
410330000213113
5132201340043
612115314343
72024062050
oct474004727
9182781130
1082840023
1142840a32
12238ab9b3
1314215c86
14b005727
1574152d3
hex4f009d7

82840023 has 32 divisors (see below), whose sum is σ = 141171200. Its totient is φ = 47029248.

The previous prime is 82840001. The next prime is 82840033. The reversal of 82840023 is 32004828.

It is not a de Polignac number, because 82840023 - 29 = 82839511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82840033) 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 31 ways as a sum of consecutive naturals, for example, 29463 + ... + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (4411600).

Almost surely, 282840023 is an apocalyptic number.

82840023 is a deficient number, since it is larger than the sum of its proper divisors (58331177).

82840023 is a wasteful number, since it uses less digits than its factorization.

82840023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82840023 is about 9101.6494658935. The cubic root of 82840023 is about 435.9266334903.

The spelling of 82840023 in words is "eighty-two million, eight hundred forty thousand, twenty-three".

Divisors: 1 3 7 9 21 27 63 163 189 489 1141 1467 2689 3423 4401 8067 10269 18823 24201 30807 56469 72603 169407 438307 508221 1314921 3068149 3944763 9204447 11834289 27613341 82840023