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252073993 is a prime number
BaseRepresentation
bin11110000011001…
…01100000001001
3122120022200111211
433001211200021
51004012331433
641002453121
76150410413
oct1701454011
9576280454
10252073993
1111a31aa16
12705041a1
13402ba712
14256999b3
15171e38cd
hexf065809

252073993 has 2 divisors, whose sum is σ = 252073994. Its totient is φ = 252073992.

The previous prime is 252073979. The next prime is 252074047. The reversal of 252073993 is 399370252.

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., 187881849 + 64192144 = 13707^2 + 8012^2 .

It is a cyclic number.

It is not a de Polignac number, because 252073993 - 25 = 252073961 is a prime.

It is not a weakly prime, because it can be changed into another prime (252073903) 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, 126036996 + 126036997.

It is an arithmetic number, because the mean of its divisors is an integer number (126036997).

Almost surely, 2252073993 is an apocalyptic number.

It is an amenable number.

252073993 is a deficient number, since it is larger than the sum of its proper divisors (1).

252073993 is an equidigital number, since it uses as much as digits as its factorization.

252073993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 252073993 is about 15876.8382557737. The cubic root of 252073993 is about 631.6977746678.

The spelling of 252073993 in words is "two hundred fifty-two million, seventy-three thousand, nine hundred ninety-three".