Search a number
-
+
264182969 is a prime number
BaseRepresentation
bin11111011111100…
…01110010111001
3200102002212220102
433233301302321
51020112323334
642114205145
76355342511
oct1757616271
9612085812
10264182969
11126140636
12745837b5
134296a1ab
142712c841
15182d667e
hexfbf1cb9

264182969 has 2 divisors, whose sum is σ = 264182970. Its totient is φ = 264182968.

The previous prime is 264182957. The next prime is 264182981. The reversal of 264182969 is 969281462.

It is a balanced prime because it is at equal distance from previous prime (264182957) and next prime (264182981).

It can be written as a sum of positive squares in only one way, i.e., 258823744 + 5359225 = 16088^2 + 2315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264182969 is a prime.

It is a super-2 number, since 2×2641829692 = 139585282219309922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (264182939) 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, 132091484 + 132091485.

It is an arithmetic number, because the mean of its divisors is an integer number (132091485).

Almost surely, 2264182969 is an apocalyptic number.

It is an amenable number.

264182969 is a deficient number, since it is larger than the sum of its proper divisors (1).

264182969 is an equidigital number, since it uses as much as digits as its factorization.

264182969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 47.

The square root of 264182969 is about 16253.7063157915. The cubic root of 264182969 is about 641.6550336303.

The spelling of 264182969 in words is "two hundred sixty-four million, one hundred eighty-two thousand, nine hundred sixty-nine".