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248966129 is a prime number
BaseRepresentation
bin11101101011011…
…10101111110001
3122100110210022202
432311232233301
51002213404004
640412112545
76112114526
oct1665565761
9570423282
10248966129
11118597a35
126b465755
133c76cc49
14250cb14d
1516cccb1e
hexed6ebf1

248966129 has 2 divisors, whose sum is σ = 248966130. Its totient is φ = 248966128.

The previous prime is 248966093. The next prime is 248966143. The reversal of 248966129 is 921669842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146410000 + 102556129 = 12100^2 + 10127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248966129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248966149) 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, 124483064 + 124483065.

It is an arithmetic number, because the mean of its divisors is an integer number (124483065).

Almost surely, 2248966129 is an apocalyptic number.

It is an amenable number.

248966129 is a deficient number, since it is larger than the sum of its proper divisors (1).

248966129 is an equidigital number, since it uses as much as digits as its factorization.

248966129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 47.

The square root of 248966129 is about 15778.6605578547. The cubic root of 248966129 is about 629.0909278848.

The spelling of 248966129 in words is "two hundred forty-eight million, nine hundred sixty-six thousand, one hundred twenty-nine".