Search a number
-
+
245862401 is a prime number
BaseRepresentation
bin11101010011110…
…01000000000001
3122010122002210212
432221321000001
51000420044101
640221403505
76043540001
oct1651710001
9563562725
10245862401
11116868074
126a409595
133bc24315
1424920001
15168b81bb
hexea79001

245862401 has 2 divisors, whose sum is σ = 245862402. Its totient is φ = 245862400.

The previous prime is 245862371. The next prime is 245862403. The reversal of 245862401 is 104268542.

It is a Cunningham number, because it is equal to 156802+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245862400 + 1 = 15680^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 245862401 - 210 = 245861377 is a prime.

It is a Sophie Germain prime.

Together with 245862403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p13465319 and since 245862401 and 13465319 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (245862403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122931200 + 122931201.

It is an arithmetic number, because the mean of its divisors is an integer number (122931201).

Almost surely, 2245862401 is an apocalyptic number.

It is an amenable number.

245862401 is a deficient number, since it is larger than the sum of its proper divisors (1).

245862401 is an equidigital number, since it uses as much as digits as its factorization.

245862401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 245862401 is about 15680.0000318878. Note that the first 4 decimals coincide. The cubic root of 245862401 is about 626.4658084149.

The spelling of 245862401 in words is "two hundred forty-five million, eight hundred sixty-two thousand, four hundred one".