Search a number
-
+
264784937 is a prime number
BaseRepresentation
bin11111100100001…
…00110000101001
3200110020110122112
433302010300221
51020241104222
642135132105
76363430514
oct1762046051
9613213575
10264784937
1112651192a
1274814035
1342b1b1a1
1427247d7b
15183a4be2
hexfc84c29

264784937 has 2 divisors, whose sum is σ = 264784938. Its totient is φ = 264784936.

The previous prime is 264784889. The next prime is 264784951. The reversal of 264784937 is 739487462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264420121 + 364816 = 16261^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 264784937 - 216 = 264719401 is a prime.

It is a super-2 number, since 2×2647849372 = 140222125724187938, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264784997) 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, 132392468 + 132392469.

It is an arithmetic number, because the mean of its divisors is an integer number (132392469).

Almost surely, 2264784937 is an apocalyptic number.

It is an amenable number.

264784937 is a deficient number, since it is larger than the sum of its proper divisors (1).

264784937 is an equidigital number, since it uses as much as digits as its factorization.

264784937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2032128, while the sum is 50.

The square root of 264784937 is about 16272.2136478108. The cubic root of 264784937 is about 642.1420228750.

The spelling of 264784937 in words is "two hundred sixty-four million, seven hundred eighty-four thousand, nine hundred thirty-seven".