Search a number
-
+
82058368 = 27791583
BaseRepresentation
bin1001110010000…
…01110010000000
312201101222220211
410321001302000
5132001331433
612050443504
72014325140
oct471016200
9181358824
1082058368
1142357737
1223593594
1314001262
14ac80920
15730d8cd
hex4e41c80

82058368 has 32 divisors (see below), whose sum is σ = 186831360. Its totient is φ = 35167488.

The previous prime is 82058329. The next prime is 82058369. The reversal of 82058368 is 86385028.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 82058368.

It is not an unprimeable number, because it can be changed into a prime (82058369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44896 + ... + 46687.

It is an arithmetic number, because the mean of its divisors is an integer number (5838480).

Almost surely, 282058368 is an apocalyptic number.

It is an amenable number.

82058368 is an abundant number, since it is smaller than the sum of its proper divisors (104772992).

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

82058368 is an equidigital number, since it uses as much as digits as its factorization.

82058368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91604 (or 91592 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 82058368 is about 9058.6073984912. The cubic root of 82058368 is about 434.5512048992.

The spelling of 82058368 in words is "eighty-two million, fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 91583 183166 366332 641081 732664 1282162 1465328 2564324 2930656 5128648 5861312 10257296 11722624 20514592 41029184 82058368