Search a number
-
+
82640082 = 23719293571
BaseRepresentation
bin1001110110011…
…11110011010010
312202111112212210
410323033303102
5132123440312
612111132550
72022300120
oct473176322
9182445783
1082640082
1142714798
1223814156
1314175c75
14ad92910
1573c5e3c
hex4ecfcd2

82640082 has 64 divisors (see below), whose sum is σ = 205747200. Its totient is φ = 21591360.

The previous prime is 82640071. The next prime is 82640099. The reversal of 82640082 is 28004628.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21357 + ... + 24927.

It is an arithmetic number, because the mean of its divisors is an integer number (3214800).

Almost surely, 282640082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82640082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102873600).

82640082 is an abundant number, since it is smaller than the sum of its proper divisors (123107118).

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

82640082 is a wasteful number, since it uses less digits than its factorization.

82640082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631.

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82640082 is about 9090.6590520160. The cubic root of 82640082 is about 435.5756363906.

The spelling of 82640082 in words is "eighty-two million, six hundred forty thousand, eighty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3571 3857 7142 7714 10713 11571 21426 23142 24997 49994 67849 74991 103559 135698 149982 203547 207118 310677 407094 474943 621354 724913 949886 1424829 1449826 1967621 2174739 2849658 3935242 4349478 5902863 11805726 13773347 27546694 41320041 82640082