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2802641 is a prime number
BaseRepresentation
bin1010101100001111010001
312021101111112
422230033101
51204141031
6140023105
732551652
oct12541721
95241445
102802641
111644736
12b31a95
1377188a
1452d529
153a562b
hex2ac3d1

2802641 has 2 divisors, whose sum is σ = 2802642. Its totient is φ = 2802640.

The previous prime is 2802623. The next prime is 2802643. The reversal of 2802641 is 1462082.

2802641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1638400 + 1164241 = 1280^2 + 1079^2 .

It is a cyclic number.

It is not a de Polignac number, because 2802641 - 214 = 2786257 is a prime.

It is a Sophie Germain prime.

Together with 2802643, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2802643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1401320 + 1401321.

It is an arithmetic number, because the mean of its divisors is an integer number (1401321).

22802641 is an apocalyptic number.

It is an amenable number.

2802641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2802641 is an equidigital number, since it uses as much as digits as its factorization.

2802641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2802641 is about 1674.1090167609. The cubic root of 2802641 is about 140.9902748016.

It can be divided in two parts, 2802 and 641, that added together give a palindrome (3443).

The spelling of 2802641 in words is "two million, eight hundred two thousand, six hundred forty-one".