Search a number
-
+
248666193 = 349731649
BaseRepresentation
bin11101101001001…
…01100001010001
3122022220112220000
432310211201101
51002124304233
640401440213
76106425216
oct1664454121
9568815800
10248666193
11118402656
126b340069
133c696579
142504db0d
1516c6dd13
hexed25851

248666193 has 20 divisors (see below), whose sum is σ = 375305700. Its totient is φ = 164063232.

The previous prime is 248666161. The next prime is 248666203. The reversal of 248666193 is 391666842.

It can be written as a sum of positive squares in 2 ways, for example, as 169598529 + 79067664 = 13023^2 + 8892^2 .

It is not a de Polignac number, because 248666193 - 25 = 248666161 is a prime.

It is a super-2 number, since 2×2486661932 = 123669751082226498, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (248666113) 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 in 19 ways as a sum of consecutive naturals, for example, 7968 + ... + 23681.

It is an arithmetic number, because the mean of its divisors is an integer number (18765285).

Almost surely, 2248666193 is an apocalyptic number.

It is an amenable number.

248666193 is a deficient number, since it is larger than the sum of its proper divisors (126639507).

248666193 is an equidigital number, since it uses as much as digits as its factorization.

248666193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31758 (or 31749 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 248666193 is about 15769.1532112539. The cubic root of 248666193 is about 628.8381989424.

The spelling of 248666193 in words is "two hundred forty-eight million, six hundred sixty-six thousand, one hundred ninety-three".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 31649 94947 284841 854523 2563569 3069953 9209859 27629577 82888731 248666193