Search a number
-
+
26337281 is a prime number
BaseRepresentation
bin110010001111…
…0000000000001
31211120001221212
41210132000001
523220243111
62340255505
7436602035
oct144360001
954501855
1026337281
1113959653
1289a1595
1355c1ab9
1436d81c5
1524a398b
hex191e001

26337281 has 2 divisors, whose sum is σ = 26337282. Its totient is φ = 26337280.

The previous prime is 26337263. The next prime is 26337313. The reversal of 26337281 is 18273362.

It is a happy number.

It is an a-pointer prime, because the next prime (26337313) can be obtained adding 26337281 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15054400 + 11282881 = 3880^2 + 3359^2 .

It is a cyclic number.

It is not a de Polignac number, because 26337281 - 222 = 22142977 is a prime.

It is a super-4 number, since 4×263372814 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (26330281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13168640 + 13168641.

It is an arithmetic number, because the mean of its divisors is an integer number (13168641).

It is a Proth number, since it is equal to 3215 ⋅ 213 + 1 and 3215 < 213.

Almost surely, 226337281 is an apocalyptic number.

It is an amenable number.

26337281 is a deficient number, since it is larger than the sum of its proper divisors (1).

26337281 is an equidigital number, since it uses as much as digits as its factorization.

26337281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 32.

The square root of 26337281 is about 5131.9860677909. The cubic root of 26337281 is about 297.5251246347.

The spelling of 26337281 in words is "twenty-six million, three hundred thirty-seven thousand, two hundred eighty-one".