Search a number
-
+
82943848 = 23132311979
BaseRepresentation
bin1001111000110…
…01111101101000
312210001222120101
410330121331220
5132213200343
612121435144
72025003541
oct474317550
9183058511
1082943848
1142901a39
122393bab4
1314251300
14b0314c8
157435e4d
hex4f19f68

82943848 has 48 divisors (see below), whose sum is σ = 173923200. Its totient is φ = 37028160.

The previous prime is 82943843. The next prime is 82943881. The reversal of 82943848 is 84834928.

It is a junction number, because it is equal to n+sod(n) for n = 82943798 and 82943807.

It is not an unprimeable number, because it can be changed into a prime (82943843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40923 + ... + 42901.

It is an arithmetic number, because the mean of its divisors is an integer number (3623400).

Almost surely, 282943848 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 82943848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86961600).

82943848 is an abundant number, since it is smaller than the sum of its proper divisors (90979352).

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

82943848 is a wasteful number, since it uses less digits than its factorization.

82943848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2025 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 82943848 is about 9107.3513163817. The cubic root of 82943848 is about 436.1086758807.

The spelling of 82943848 in words is "eighty-two million, nine hundred forty-three thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1352 1612 1979 3224 3958 5239 7916 10478 15832 20956 25727 41912 51454 61349 102908 122698 205816 245396 334451 490792 668902 797537 1337804 1595074 2675608 3190148 6380296 10367981 20735962 41471924 82943848