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264616381 is a prime number
BaseRepresentation
bin11111100010110…
…11100110111101
3200102220220102201
433301123212331
51020220211011
642131351501
76362126221
oct1761334675
9612826381
10264616381
11126407227
1274752591
1342a8c553
1427202781
151836ecc1
hexfc5b9bd

264616381 has 2 divisors, whose sum is σ = 264616382. Its totient is φ = 264616380.

The previous prime is 264616369. The next prime is 264616399. The reversal of 264616381 is 183616462.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254913156 + 9703225 = 15966^2 + 3115^2 .

It is a cyclic number.

It is not a de Polignac number, because 264616381 - 25 = 264616349 is a prime.

It is a super-2 number, since 2×2646163812 = 140043658187074322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264616381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264616321) 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, 132308190 + 132308191.

It is an arithmetic number, because the mean of its divisors is an integer number (132308191).

Almost surely, 2264616381 is an apocalyptic number.

It is an amenable number.

264616381 is a deficient number, since it is larger than the sum of its proper divisors (1).

264616381 is an equidigital number, since it uses as much as digits as its factorization.

264616381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The square root of 264616381 is about 16267.0335648513. The cubic root of 264616381 is about 642.0057363385.

The spelling of 264616381 in words is "two hundred sixty-four million, six hundred sixteen thousand, three hundred eighty-one".