Search a number
-
+
808033741 is a prime number
BaseRepresentation
bin110000001010011…
…001110111001101
32002022110100220121
4300022121313031
53123324034431
6212102544541
726011113334
oct6012316715
92068410817
10808033741
11385128789
121a6738151
13cb536798
147945ad1b
154ae12611
hex30299dcd

808033741 has 2 divisors, whose sum is σ = 808033742. Its totient is φ = 808033740.

The previous prime is 808033739. The next prime is 808033789. The reversal of 808033741 is 147330808.

808033741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 771672841 + 36360900 = 27779^2 + 6030^2 .

It is a cyclic number.

It is not a de Polignac number, because 808033741 - 21 = 808033739 is a prime.

Together with 808033739, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 808033697 and 808033706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (808039741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404016870 + 404016871.

It is an arithmetic number, because the mean of its divisors is an integer number (404016871).

Almost surely, 2808033741 is an apocalyptic number.

It is an amenable number.

808033741 is a deficient number, since it is larger than the sum of its proper divisors (1).

808033741 is an equidigital number, since it uses as much as digits as its factorization.

808033741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 808033741 is about 28425.9343030269. The cubic root of 808033741 is about 931.4148660798.

The spelling of 808033741 in words is "eight hundred eight million, thirty-three thousand, seven hundred forty-one".