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48733 is a prime number
BaseRepresentation
bin1011111001011101
32110211221
423321131
53024413
61013341
7262036
oct137135
973757
1048733
1133683
1224251
1319249
1413a8d
15e68d
hexbe5d

48733 has 2 divisors, whose sum is σ = 48734. Its totient is φ = 48732.

The previous prime is 48731. The next prime is 48751. The reversal of 48733 is 33784.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 3364 = 213^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 48733 - 21 = 48731 is a prime.

Together with 48731, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 48698 and 48707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24366 + 24367.

It is an arithmetic number, because the mean of its divisors is an integer number (24367).

248733 is an apocalyptic number.

It is an amenable number.

48733 is a deficient number, since it is larger than the sum of its proper divisors (1).

48733 is an equidigital number, since it uses as much as digits as its factorization.

48733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 25.

The square root of 48733 is about 220.7555208823. The cubic root of 48733 is about 36.5264710710.

The spelling of 48733 in words is "forty-eight thousand, seven hundred thirty-three".