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814050037 is a prime number
BaseRepresentation
bin110000100001010…
…110101011110101
32002201210000201101
4300201112223311
53131344100122
6212435530101
726113211503
oct6041265365
92081700641
10814050037
11388567929
121a8759931
13cc862018
147a185673
154b700027
hex30856af5

814050037 has 2 divisors, whose sum is σ = 814050038. Its totient is φ = 814050036.

The previous prime is 814050019. The next prime is 814050047. The reversal of 814050037 is 730050418.

814050037 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., 589469841 + 224580196 = 24279^2 + 14986^2 .

It is a cyclic number.

It is not a de Polignac number, because 814050037 - 219 = 813525749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814049987 and 814050014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814050047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407025018 + 407025019.

It is an arithmetic number, because the mean of its divisors is an integer number (407025019).

Almost surely, 2814050037 is an apocalyptic number.

It is an amenable number.

814050037 is a deficient number, since it is larger than the sum of its proper divisors (1).

814050037 is an equidigital number, since it uses as much as digits as its factorization.

814050037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 814050037 is about 28531.5621198700. The cubic root of 814050037 is about 933.7207999939.

The spelling of 814050037 in words is "eight hundred fourteen million, fifty thousand, thirty-seven".