Search a number
-
+
273028829 is a prime number
BaseRepresentation
bin10000010001100…
…001011011011101
3201000202022010212
4100101201123131
51024343410304
643031542205
76523464263
oct2021413335
9630668125
10273028829
11130132667
127752a965
1344746628
1428392433
1518e8266e
hex104616dd

273028829 has 2 divisors, whose sum is σ = 273028830. Its totient is φ = 273028828.

The previous prime is 273028817. The next prime is 273028831. The reversal of 273028829 is 928820372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234028804 + 39000025 = 15298^2 + 6245^2 .

It is a cyclic number.

It is not a de Polignac number, because 273028829 - 212 = 273024733 is a prime.

It is a super-2 number, since 2×2730288292 = 149089482930222482, which contains 22 as substring.

Together with 273028831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (273028229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136514414 + 136514415.

It is an arithmetic number, because the mean of its divisors is an integer number (136514415).

Almost surely, 2273028829 is an apocalyptic number.

It is an amenable number.

273028829 is a deficient number, since it is larger than the sum of its proper divisors (1).

273028829 is an equidigital number, since it uses as much as digits as its factorization.

273028829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 273028829 is about 16523.5840240548. The cubic root of 273028829 is about 648.7382458088.

The spelling of 273028829 in words is "two hundred seventy-three million, twenty-eight thousand, eight hundred twenty-nine".