Search a number
-
+
9182828241 = 321020314249
BaseRepresentation
bin10001000110101011…
…01101011011010001
3212200222010000012200
420203111231123101
5122301301000431
64115111513413
7443362515666
oct104325553321
925628100180
109182828241
113992515854
121943388869
13b346045a2
14631807a6d
1538b292ee6
hex22356d6d1

9182828241 has 6 divisors (see below), whose sum is σ = 13264085250. Its totient is φ = 6121885488.

The previous prime is 9182828219. The next prime is 9182828267. The reversal of 9182828241 is 1428282819.

9182828241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7896099600 + 1286728641 = 88860^2 + 35871^2 .

It is not a de Polignac number, because 9182828241 - 25 = 9182828209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9182828201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510157116 + ... + 510157133.

It is an arithmetic number, because the mean of its divisors is an integer number (2210680875).

Almost surely, 29182828241 is an apocalyptic number.

It is an amenable number.

9182828241 is a deficient number, since it is larger than the sum of its proper divisors (4081257009).

9182828241 is a wasteful number, since it uses less digits than its factorization.

9182828241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020314255 (or 1020314252 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 9182828241 is about 95827.0746762104. The cubic root of 9182828241 is about 2094.0746224806.

The spelling of 9182828241 in words is "nine billion, one hundred eighty-two million, eight hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 1020314249 3060942747 9182828241