Search a number
-
+
2839084729 = 134123322861
BaseRepresentation
bin1010100100111000…
…1111111010111001
321022212020110002021
42221032033322321
521303301202404
61145415234441
7130232551645
oct25116177271
97285213067
102839084729
111227653418
12672978a21
133632632c0
141cd0b9c25
151193aa454
hexa938feb9

2839084729 has 16 divisors (see below), whose sum is σ = 3145628304. Its totient is φ = 2545689600.

The previous prime is 2839084727. The next prime is 2839084757. The reversal of 2839084729 is 9274809382.

It can be written as a sum of positive squares in 8 ways, for example, as 370485504 + 2468599225 = 19248^2 + 49685^2 .

It is a cyclic number.

It is not a de Polignac number, because 2839084729 - 21 = 2839084727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2839084723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112759 + ... + 135619.

It is an arithmetic number, because the mean of its divisors is an integer number (196601769).

Almost surely, 22839084729 is an apocalyptic number.

It is an amenable number.

2839084729 is a deficient number, since it is larger than the sum of its proper divisors (306543575).

2839084729 is a wasteful number, since it uses less digits than its factorization.

2839084729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23148.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 2839084729 is about 53283.0623087675. The cubic root of 2839084729 is about 1415.9876033965.

The spelling of 2839084729 in words is "two billion, eight hundred thirty-nine million, eighty-four thousand, seven hundred twenty-nine".

Divisors: 1 13 41 233 533 3029 9553 22861 124189 297193 937301 5326613 12184913 69245969 218391133 2839084729