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252408319 is a prime number
BaseRepresentation
bin11110000101101…
…11000111111111
3122120221200010021
433002313013333
51004104031234
641013553011
76153302212
oct1702670777
9576850107
10252408319
1111a529119
1270645767
13403a6947
1425745779
151725c9b4
hexf0b71ff

252408319 has 2 divisors, whose sum is σ = 252408320. Its totient is φ = 252408318.

The previous prime is 252408269. The next prime is 252408329. The reversal of 252408319 is 913804252.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 252408319 - 215 = 252375551 is a prime.

It is a super-2 number, since 2×2524083192 = 127419919000811522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252408329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126204159 + 126204160.

It is an arithmetic number, because the mean of its divisors is an integer number (126204160).

Almost surely, 2252408319 is an apocalyptic number.

252408319 is a deficient number, since it is larger than the sum of its proper divisors (1).

252408319 is an equidigital number, since it uses as much as digits as its factorization.

252408319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 252408319 is about 15887.3635005938. The cubic root of 252408319 is about 631.9769250975.

The spelling of 252408319 in words is "two hundred fifty-two million, four hundred eight thousand, three hundred nineteen".