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248993149 is a prime number
BaseRepresentation
bin11101101011101…
…01010101111101
3122100112011101111
432311311111331
51002220240044
640412442021
76112256356
oct1665652575
9570464344
10248993149
11118606269
126b479311
133c77c332
14250d6d2d
1516cd5b34
hexed7557d

248993149 has 2 divisors, whose sum is σ = 248993150. Its totient is φ = 248993148.

The previous prime is 248993113. The next prime is 248993167. The reversal of 248993149 is 941399842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176624100 + 72369049 = 13290^2 + 8507^2 .

It is a cyclic number.

It is not a de Polignac number, because 248993149 - 27 = 248993021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248993189) 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, 124496574 + 124496575.

It is an arithmetic number, because the mean of its divisors is an integer number (124496575).

Almost surely, 2248993149 is an apocalyptic number.

It is an amenable number.

248993149 is a deficient number, since it is larger than the sum of its proper divisors (1).

248993149 is an equidigital number, since it uses as much as digits as its factorization.

248993149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 559872, while the sum is 49.

The square root of 248993149 is about 15779.5167543243. The cubic root of 248993149 is about 629.1136852267.

The spelling of 248993149 in words is "two hundred forty-eight million, nine hundred ninety-three thousand, one hundred forty-nine".