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48193 is a prime number
BaseRepresentation
bin1011110001000001
32110002221
423301001
53020233
61011041
7260335
oct136101
973087
1048193
1133232
1223a81
1318c22
14137c5
15e42d
hexbc41

48193 has 2 divisors, whose sum is σ = 48194. Its totient is φ = 48192.

The previous prime is 48187. The next prime is 48197. The reversal of 48193 is 39184.

Subtracting from 48193 its reverse (39184), we obtain a palindrome (9009).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 3249 = 212^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 48193 - 29 = 47681 is a prime.

It is not a weakly prime, because it can be changed into another prime (48197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24096 + 24097.

It is an arithmetic number, because the mean of its divisors is an integer number (24097).

248193 is an apocalyptic number.

It is an amenable number.

48193 is a deficient number, since it is larger than the sum of its proper divisors (1).

48193 is an equidigital number, since it uses as much as digits as its factorization.

48193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 48193 is about 219.5290413590. The cubic root of 48193 is about 36.3910556456.

The spelling of 48193 in words is "forty-eight thousand, one hundred ninety-three".