Search a number
-
+
400809281 is a prime number
BaseRepresentation
bin10111111000111…
…101110101000001
31000221012012222012
4113320331311001
51310101344111
6103434422305
712634552115
oct2770756501
91027165865
10400809281
11196278a44
12b2291995
1365065a72
143b335745
15252c348b
hex17e3dd41

400809281 has 2 divisors, whose sum is σ = 400809282. Its totient is φ = 400809280.

The previous prime is 400809257. The next prime is 400809329. The reversal of 400809281 is 182908004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365001025 + 35808256 = 19105^2 + 5984^2 .

It is a cyclic number.

It is not a de Polignac number, because 400809281 - 26 = 400809217 is a prime.

It is a super-2 number, since 2×4008092812 = 321296159471473922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400809251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200404640 + 200404641.

It is an arithmetic number, because the mean of its divisors is an integer number (200404641).

Almost surely, 2400809281 is an apocalyptic number.

It is an amenable number.

400809281 is a deficient number, since it is larger than the sum of its proper divisors (1).

400809281 is an equidigital number, since it uses as much as digits as its factorization.

400809281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 400809281 is about 20020.2218019681. The cubic root of 400809281 is about 737.3028677751.

The spelling of 400809281 in words is "four hundred million, eight hundred nine thousand, two hundred eighty-one".