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252362993 is a prime number
BaseRepresentation
bin11110000101011…
…00000011110001
3122120212100221112
433002230003301
51004101103433
641013003105
76153023111
oct1702540361
9576770845
10252362993
1111a4a8063
1270623495
134038c11c
1425733041
151724e348
hexf0ac0f1

252362993 has 2 divisors, whose sum is σ = 252362994. Its totient is φ = 252362992.

The previous prime is 252362987. The next prime is 252363019. The reversal of 252362993 is 399263252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230675344 + 21687649 = 15188^2 + 4657^2 .

It is a cyclic number.

It is not a de Polignac number, because 252362993 - 214 = 252346609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252362993.

It is not a weakly prime, because it can be changed into another prime (252362983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126181496 + 126181497.

It is an arithmetic number, because the mean of its divisors is an integer number (126181497).

Almost surely, 2252362993 is an apocalyptic number.

It is an amenable number.

252362993 is a deficient number, since it is larger than the sum of its proper divisors (1).

252362993 is an equidigital number, since it uses as much as digits as its factorization.

252362993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 41.

The square root of 252362993 is about 15885.9369569440. The cubic root of 252362993 is about 631.9390939344.

The spelling of 252362993 in words is "two hundred fifty-two million, three hundred sixty-two thousand, nine hundred ninety-three".