Search a number
-
+
33506413 is a prime number
BaseRepresentation
bin111111111010…
…0010001101101
32100001022011021
41333310101231
532034201123
63154054141
7554541223
oct177642155
970038137
1033506413
1117a05956
12b27a351
136c31ca5
144642b13
152e1cc5d
hex1ff446d

33506413 has 2 divisors, whose sum is σ = 33506414. Its totient is φ = 33506412.

The previous prime is 33506401. The next prime is 33506461. The reversal of 33506413 is 31460533.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27019204 + 6487209 = 5198^2 + 2547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33506413 is a prime.

It is a super-2 number, since 2×335064132 = 2245359424253138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33506113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16753206 + 16753207.

It is an arithmetic number, because the mean of its divisors is an integer number (16753207).

Almost surely, 233506413 is an apocalyptic number.

It is an amenable number.

33506413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33506413 is an equidigital number, since it uses as much as digits as its factorization.

33506413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 33506413 is about 5788.4724237056. The cubic root of 33506413 is about 322.3858554845.

Adding to 33506413 its reverse (31460533), we get a palindrome (64966946).

The spelling of 33506413 in words is "thirty-three million, five hundred six thousand, four hundred thirteen".