Search a number
-
+
33133249 is a prime number
BaseRepresentation
bin111111001100…
…1001011000001
32022100100021101
41332121023001
531440230444
63142054401
7551425252
oct176311301
968310241
1033133249
1117780556
12b11a401
136b31196
144586b29
152d973d4
hex1f992c1

33133249 has 2 divisors, whose sum is σ = 33133250. Its totient is φ = 33133248.

The previous prime is 33133237. The next prime is 33133253. The reversal of 33133249 is 94233133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22848400 + 10284849 = 4780^2 + 3207^2 .

It is an emirp because it is prime and its reverse (94233133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33133249 - 215 = 33100481 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33133949) 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, 16566624 + 16566625.

It is an arithmetic number, because the mean of its divisors is an integer number (16566625).

Almost surely, 233133249 is an apocalyptic number.

It is an amenable number.

33133249 is a deficient number, since it is larger than the sum of its proper divisors (1).

33133249 is an equidigital number, since it uses as much as digits as its factorization.

33133249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

The square root of 33133249 is about 5756.1487993276. The cubic root of 33133249 is about 321.1845711502.

The spelling of 33133249 in words is "thirty-three million, one hundred thirty-three thousand, two hundred forty-nine".