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2406294929 is a prime number
BaseRepresentation
bin1000111101101101…
…0010010110010001
320012200212110002102
42033123102112101
514412002414204
61034435130145
7113426112053
oct21733222621
96180773072
102406294929
111025321aa5
12571a43955
132c46b0c6c
1418b81b8d3
15e13bb41e
hex8f6d2591

2406294929 has 2 divisors, whose sum is σ = 2406294930. Its totient is φ = 2406294928.

The previous prime is 2406294911. The next prime is 2406294941. The reversal of 2406294929 is 9294926042.

2406294929 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., 1268784400 + 1137510529 = 35620^2 + 33727^2 .

It is a cyclic number.

It is not a de Polignac number, because 2406294929 - 220 = 2405246353 is a prime.

It is a super-2 number, since 2×24062949292 = 11580510570662230082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2406294949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1203147464 + 1203147465.

It is an arithmetic number, because the mean of its divisors is an integer number (1203147465).

Almost surely, 22406294929 is an apocalyptic number.

It is an amenable number.

2406294929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2406294929 is an equidigital number, since it uses as much as digits as its factorization.

2406294929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 2406294929 is about 49054.0001325070. Note that the first 3 decimals coincide. The cubic root of 2406294929 is about 1340.0354429253.

The spelling of 2406294929 in words is "two billion, four hundred six million, two hundred ninety-four thousand, nine hundred twenty-nine".