Base | Representation |
---|---|
bin | 1001110001101… |
… | …01110100000000 |
3 | 12201022111200010 |
4 | 10320311310000 |
5 | 131443244334 |
6 | 12045424520 |
7 | 2014032204 |
oct | 470656400 |
9 | 181274603 |
10 | 82009344 |
11 | 4232391a |
12 | 2356b140 |
13 | 13cb4b51 |
14 | ac6ab04 |
15 | 72ee0e9 |
hex | 4e35d00 |
82009344 has 36 divisors (see below), whose sum is σ = 218266496. Its totient is φ = 27336192.
The previous prime is 82009337. The next prime is 82009349. The reversal of 82009344 is 44390028.
It is a happy number.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82009349) 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 3 ways as a sum of consecutive naturals, for example, 52624 + ... + 54159.
Almost surely, 282009344 is an apocalyptic number.
It is an amenable number.
82009344 is an abundant number, since it is smaller than the sum of its proper divisors (136257152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82009344 is a wasteful number, since it uses less digits than its factorization.
82009344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106802 (or 106788 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 82009344 is about 9055.9010595302. The cubic root of 82009344 is about 434.4646499155.
The spelling of 82009344 in words is "eighty-two million, nine thousand, three hundred forty-four".
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