Search a number
-
+
82296 = 2334127
BaseRepresentation
bin10100000101111000
311011220000
4110011320
510113141
61433000
7461634
oct240570
9134800
1082296
1156915
123b760
132b5c6
1421dc4
15195b6
hex14178

82296 has 40 divisors (see below), whose sum is σ = 232320. Its totient is φ = 27216.

The previous prime is 82279. The next prime is 82301. The reversal of 82296 is 69228.

It can be divided in two parts, 82 and 296, that added together give a triangular number (378 = T27).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 585 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (5808).

282296 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 82296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116160).

82296 is an abundant number, since it is smaller than the sum of its proper divisors (150024).

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

82296 is a wasteful number, since it uses less digits than its factorization.

82296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 82296 is about 286.8727941092. The cubic root of 82296 is about 43.4970271452.

The spelling of 82296 in words is "eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 82296