Search a number
-
+
82243296 = 253395189
BaseRepresentation
bin1001110011011…
…10111011100000
312201202101121000
410321232323200
5132023241141
612054432000
72016025242
oct471567340
9181671530
1082243296
1142473673
1223662600
1314067495
14accc092
1573485b6
hex4e6eee0

82243296 has 48 divisors (see below), whose sum is σ = 239878800. Its totient is φ = 27414144.

The previous prime is 82243277. The next prime is 82243307. The reversal of 82243296 is 69234228.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82243296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46731 + ... + 48458.

It is an arithmetic number, because the mean of its divisors is an integer number (4997475).

Almost surely, 282243296 is an apocalyptic number.

It is an amenable number.

82243296 is an abundant number, since it is smaller than the sum of its proper divisors (157635504).

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

82243296 is a wasteful number, since it uses less digits than its factorization.

82243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95208 (or 95194 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82243296 is about 9068.8089625926. The cubic root of 82243296 is about 434.8773970771.

The spelling of 82243296 in words is "eighty-two million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 95189 190378 285567 380756 571134 761512 856701 1142268 1523024 1713402 2284536 2570103 3046048 3426804 4569072 5140206 6853608 9138144 10280412 13707216 20560824 27414432 41121648 82243296