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2400004049 is a prime number
BaseRepresentation
bin1000111100001101…
…0010011111010001
320012021000211121212
42033003102133101
514403400112144
61034052225505
7113321461232
oct21703223721
96167024555
102400004049
111021815623
1256b90b295
132c32ba751
1418aa61089
15e0a7749e
hex8f0d27d1

2400004049 has 2 divisors, whose sum is σ = 2400004050. Its totient is φ = 2400004048.

The previous prime is 2400004037. The next prime is 2400004051. The reversal of 2400004049 is 9404000042.

It is a happy number.

2400004049 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., 1638630400 + 761373649 = 40480^2 + 27593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400004049 is a prime.

It is a Sophie Germain prime.

Together with 2400004051, 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 (2400003049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200002024 + 1200002025.

It is an arithmetic number, because the mean of its divisors is an integer number (1200002025).

Almost surely, 22400004049 is an apocalyptic number.

It is an amenable number.

2400004049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400004049 is an equidigital number, since it uses as much as digits as its factorization.

2400004049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2400004049 is about 48989.8361805793. The cubic root of 2400004049 is about 1338.8666530900.

The spelling of 2400004049 in words is "two billion, four hundred million, four thousand, forty-nine".