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48973 is a prime number
BaseRepresentation
bin1011111101001101
32111011211
423331031
53031343
61014421
7262531
oct137515
974154
1048973
1133881
1224411
13193a2
1413bc1
15e79d
hexbf4d

48973 has 2 divisors, whose sum is σ = 48974. Its totient is φ = 48972.

The previous prime is 48953. The next prime is 48989. The reversal of 48973 is 37984.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 19044 = 173^2 + 138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48953) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24486 + 24487.

It is an arithmetic number, because the mean of its divisors is an integer number (24487).

248973 is an apocalyptic number.

It is an amenable number.

48973 is a deficient number, since it is larger than the sum of its proper divisors (1).

48973 is an equidigital number, since it uses as much as digits as its factorization.

48973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 48973 is about 221.2984410248. The cubic root of 48973 is about 36.5863346916.

It can be divided in two parts, 4897 and 3, that added together give a square (4900 = 702).

The spelling of 48973 in words is "forty-eight thousand, nine hundred seventy-three".