Search a number
-
+
82738908 = 223471912
BaseRepresentation
bin1001110111001…
…11111011011100
312202200120110000
410323213323130
5132140121113
612113214300
72023161210
oct473477334
9182616400
1082738908
1142781a6a
1223861390
13141abc45
14adba940
1573e5373
hex4ee7edc

82738908 has 90 divisors (see below), whose sum is σ = 248496248. Its totient is φ = 23515920.

The previous prime is 82738879. The next prime is 82738921. The reversal of 82738908 is 80983728.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 433093 + ... + 433283.

Almost surely, 282738908 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 82738908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124248124).

82738908 is an abundant number, since it is smaller than the sum of its proper divisors (165757340).

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

82738908 is a wasteful number, since it uses less digits than its factorization.

82738908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 82738908 is about 9096.0930074401. The cubic root of 82738908 is about 435.7491964401.

The spelling of 82738908 in words is "eighty-two million, seven hundred thirty-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 191 252 324 378 382 567 573 756 764 1134 1146 1337 1719 2268 2292 2674 3438 4011 5157 5348 6876 8022 10314 12033 15471 16044 20628 24066 30942 36099 36481 48132 61884 72198 72962 108297 109443 144396 145924 216594 218886 255367 328329 433188 437772 510734 656658 766101 984987 1021468 1313316 1532202 1969974 2298303 2954961 3064404 3939948 4596606 5909922 6894909 9193212 11819844 13789818 20684727 27579636 41369454 82738908