Search a number
-
+
263972381 is a prime number
BaseRepresentation
bin11111011101111…
…10011000011101
3200101201012000212
433232332120131
51020034104011
642105502205
76353504531
oct1756763035
9611635025
10263972381
111260073a2
12744a1965
13428c539a
14270b5bc1
151829408b
hexfbbe61d

263972381 has 2 divisors, whose sum is σ = 263972382. Its totient is φ = 263972380.

The previous prime is 263972369. The next prime is 263972389. The reversal of 263972381 is 183279362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248566756 + 15405625 = 15766^2 + 3925^2 .

It is a cyclic number.

It is not a de Polignac number, because 263972381 - 214 = 263955997 is a prime.

It is a super-2 number, since 2×2639723812 = 139362835861618322, 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 (263972389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131986190 + 131986191.

It is an arithmetic number, because the mean of its divisors is an integer number (131986191).

Almost surely, 2263972381 is an apocalyptic number.

It is an amenable number.

263972381 is a deficient number, since it is larger than the sum of its proper divisors (1).

263972381 is an equidigital number, since it uses as much as digits as its factorization.

263972381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 41.

The square root of 263972381 is about 16247.2268710694. The cubic root of 263972381 is about 641.4844942870.

The spelling of 263972381 in words is "two hundred sixty-three million, nine hundred seventy-two thousand, three hundred eighty-one".