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82941138 = 2337593719
BaseRepresentation
bin1001111000110…
…01010011010010
312210001211212000
410330121103102
5132213104023
612121414430
72024662620
oct474312322
9183054760
1082941138
11428aa9a5
122393a416
131424ccc7
14b030510
157435243
hex4f194d2

82941138 has 64 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 23289552.

The previous prime is 82941121. The next prime is 82941139. The reversal of 82941138 is 83114928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82941139) 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, 20443 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 282941138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82941138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

82941138 is an abundant number, since it is smaller than the sum of its proper divisors (131330862).

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

82941138 is a wasteful number, since it uses less digits than its factorization.

82941138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3790 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 82941138 is about 9107.2025342583. The cubic root of 82941138 is about 436.1039262120.

The spelling of 82941138 in words is "eighty-two million, nine hundred forty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 3719 7434 7438 11151 11157 22302 22314 26033 33471 52066 66942 78099 100413 156198 200826 219421 234297 438842 468594 658263 702891 1316526 1405782 1535947 1974789 3071894 3949578 4607841 5924367 9215682 11848734 13823523 27647046 41470569 82941138