Search a number
-
+
4097351329 is a prime number
BaseRepresentation
bin1111010000111000…
…1001111010100001
3101120112220000100221
43310032021322201
531342410220304
61514324243041
7203351624461
oct36416117241
911515800327
104097351329
111812936775
12964240481
13503b48756
142ac255ba1
1518eaa5054
hexf4389ea1

4097351329 has 2 divisors, whose sum is σ = 4097351330. Its totient is φ = 4097351328.

The previous prime is 4097351287. The next prime is 4097351341. The reversal of 4097351329 is 9231537904.

4097351329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2609166400 + 1488184929 = 51080^2 + 38577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4097351329 is a prime.

It is not a weakly prime, because it can be changed into another prime (4097351389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048675664 + 2048675665.

It is an arithmetic number, because the mean of its divisors is an integer number (2048675665).

Almost surely, 24097351329 is an apocalyptic number.

It is an amenable number.

4097351329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097351329 is an equidigital number, since it uses as much as digits as its factorization.

4097351329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 4097351329 is about 64010.5563872085. The cubic root of 4097351329 is about 1600.1759349505.

The spelling of 4097351329 in words is "four billion, ninety-seven million, three hundred fifty-one thousand, three hundred twenty-nine".