Search a number
-
+
82639386 = 23329113467
BaseRepresentation
bin1001110110011…
…11101000011010
312202111111221000
410323033220122
5132123430021
612111125430
72022265104
oct473175032
9182444830
1082639386
1142714215
1223813876
131417585b
14ad92574
1573c5b26
hex4ecfa1a

82639386 has 64 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 26304768.

The previous prime is 82639343. The next prime is 82639387. The reversal of 82639386 is 68393628.

82639386 is a `hidden beast` number, since 8 + 2 + 639 + 3 + 8 + 6 = 666.

It is a super-3 number, since 3×826393863 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82639387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176725 + ... + 177191.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 282639386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82639386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

82639386 is an abundant number, since it is smaller than the sum of its proper divisors (109427814).

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

82639386 is a wasteful number, since it uses less digits than its factorization.

82639386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 82639386 is about 9090.6207708825. The cubic root of 82639386 is about 435.5744135720.

The spelling of 82639386 in words is "eighty-two million, six hundred thirty-nine thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 113 174 226 261 339 467 522 678 783 934 1017 1401 1566 2034 2802 3051 3277 4203 6102 6554 8406 9831 12609 13543 19662 25218 27086 29493 40629 52771 58986 81258 88479 105542 121887 158313 176958 243774 316626 365661 474939 731322 949878 1424817 1530359 2849634 3060718 4591077 9182154 13773231 27546462 41319693 82639386