Search a number
-
+
440252257 is a prime number
BaseRepresentation
bin11010001111011…
…011011101100001
31010200102010120011
4122033123131201
51400201033012
6111404044521
713624040164
oct3217333541
91120363504
10440252257
11206569045
12103533741
1370295bc3
1442681adb
15289b51a7
hex1a3db761

440252257 has 2 divisors, whose sum is σ = 440252258. Its totient is φ = 440252256.

The previous prime is 440252221. The next prime is 440252279. The reversal of 440252257 is 752252044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384316816 + 55935441 = 19604^2 + 7479^2 .

It is a cyclic number.

It is not a de Polignac number, because 440252257 - 27 = 440252129 is a prime.

It is not a weakly prime, because it can be changed into another prime (440252207) 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, 220126128 + 220126129.

It is an arithmetic number, because the mean of its divisors is an integer number (220126129).

Almost surely, 2440252257 is an apocalyptic number.

It is an amenable number.

440252257 is a deficient number, since it is larger than the sum of its proper divisors (1).

440252257 is an equidigital number, since it uses as much as digits as its factorization.

440252257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 440252257 is about 20982.1890421376. The cubic root of 440252257 is about 760.7358161079.

The spelling of 440252257 in words is "four hundred forty million, two hundred fifty-two thousand, two hundred fifty-seven".