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248930289 = 32263105167
BaseRepresentation
bin11101101011001…
…01111111110001
3122100101222011100
432311211333301
51002211232124
640411235013
76111605166
oct1665457761
9570358140
10248930289
11118573013
126b448a69
133c75983a
14250bc06d
1516cc21c9
hexed65ff1

248930289 has 12 divisors (see below), whose sum is σ = 360936576. Its totient is φ = 165320952.

The previous prime is 248930249. The next prime is 248930291. The reversal of 248930289 is 982039842.

It is not a de Polignac number, because 248930289 - 29 = 248929777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248930239) 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 in 11 ways as a sum of consecutive naturals, for example, 50217 + ... + 54950.

It is an arithmetic number, because the mean of its divisors is an integer number (30078048).

Almost surely, 2248930289 is an apocalyptic number.

It is an amenable number.

248930289 is a deficient number, since it is larger than the sum of its proper divisors (112006287).

248930289 is a wasteful number, since it uses less digits than its factorization.

248930289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105436 (or 105433 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 248930289 is about 15777.5248058750. The cubic root of 248930289 is about 629.0607394398.

The spelling of 248930289 in words is "two hundred forty-eight million, nine hundred thirty thousand, two hundred eighty-nine".

Divisors: 1 3 9 263 789 2367 105167 315501 946503 27658921 82976763 248930289