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249070993 is a prime number
BaseRepresentation
bin11101101100010…
…00010110010001
3122100200010011121
432312020112101
51002230232433
640414242241
76113032333
oct1666102621
9570603147
10249070993
111186597a6
126b4b6381
133c7a88b2
1425117453
1516cedc2d
hexed88591

249070993 has 2 divisors, whose sum is σ = 249070994. Its totient is φ = 249070992.

The previous prime is 249070973. The next prime is 249070999. The reversal of 249070993 is 399070942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125260864 + 123810129 = 11192^2 + 11127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249070993 is a prime.

It is not a weakly prime, because it can be changed into another prime (249070999) 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, 124535496 + 124535497.

It is an arithmetic number, because the mean of its divisors is an integer number (124535497).

Almost surely, 2249070993 is an apocalyptic number.

It is an amenable number.

249070993 is a deficient number, since it is larger than the sum of its proper divisors (1).

249070993 is an equidigital number, since it uses as much as digits as its factorization.

249070993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 249070993 is about 15781.9831770282. The cubic root of 249070993 is about 629.1792394039.

The spelling of 249070993 in words is "two hundred forty-nine million, seventy thousand, nine hundred ninety-three".