Search a number
-
+
742872181 is a prime number
BaseRepresentation
bin101100010001110…
…101010001110101
31220202211211001111
4230101311101311
53010133402211
6201414155021
724260211052
oct5421652165
91822754044
10742872181
11351371957
12188952a71
13baba034c
1470938029
1545340421
hex2c475475

742872181 has 2 divisors, whose sum is σ = 742872182. Its totient is φ = 742872180.

The previous prime is 742872157. The next prime is 742872191. The reversal of 742872181 is 181278247.

742872181 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., 550606225 + 192265956 = 23465^2 + 13866^2 .

It is an emirp because it is prime and its reverse (181278247) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 742872181 - 211 = 742870133 is a prime.

It is a super-2 number, since 2×7428721812 = 1103718154607393522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742872191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371436090 + 371436091.

It is an arithmetic number, because the mean of its divisors is an integer number (371436091).

Almost surely, 2742872181 is an apocalyptic number.

It is an amenable number.

742872181 is a deficient number, since it is larger than the sum of its proper divisors (1).

742872181 is an equidigital number, since it uses as much as digits as its factorization.

742872181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50176, while the sum is 40.

The square root of 742872181 is about 27255.6816278735. The cubic root of 742872181 is about 905.6728839848.

The spelling of 742872181 in words is "seven hundred forty-two million, eight hundred seventy-two thousand, one hundred eighty-one".