Search a number
-
+
2906513249 is a prime number
BaseRepresentation
bin1010110100111101…
…1101111101100001
321111120010011121212
42231033131331201
521423031410444
61200224355505
7132011645363
oct25517357541
97446104555
102906513249
111261718472
12691475b95
13374211533
141d802cd33
1512027919e
hexad3ddf61

2906513249 has 2 divisors, whose sum is σ = 2906513250. Its totient is φ = 2906513248.

The previous prime is 2906513219. The next prime is 2906513287. The reversal of 2906513249 is 9423156092.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2260336849 + 646176400 = 47543^2 + 25420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2906513249 - 224 = 2889736033 is a prime.

It is a super-2 number, since 2×29065132492 = 16895638533225072002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2906513219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1453256624 + 1453256625.

It is an arithmetic number, because the mean of its divisors is an integer number (1453256625).

Almost surely, 22906513249 is an apocalyptic number.

It is an amenable number.

2906513249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2906513249 is an equidigital number, since it uses as much as digits as its factorization.

2906513249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2906513249 is about 53912.0881528438. The cubic root of 2906513249 is about 1427.1099550942.

The spelling of 2906513249 in words is "two billion, nine hundred six million, five hundred thirteen thousand, two hundred forty-nine".