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48073 is a prime number
BaseRepresentation
bin1011101111001001
32102221111
423233021
53014243
61010321
7260104
oct135711
972844
1048073
1133133
12239a1
1318b5c
141373b
15e39d
hexbbc9

48073 has 2 divisors, whose sum is σ = 48074. Its totient is φ = 48072.

The previous prime is 48049. The next prime is 48079. The reversal of 48073 is 37084.

48073 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 2704 = 213^2 + 52^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48073 is a prime.

It is a super-3 number, since 3×480733 = 333292031295051, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (48079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24036 + 24037.

It is an arithmetic number, because the mean of its divisors is an integer number (24037).

248073 is an apocalyptic number.

It is an amenable number.

48073 is a deficient number, since it is larger than the sum of its proper divisors (1).

48073 is an equidigital number, since it uses as much as digits as its factorization.

48073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 48073 is about 219.2555586525. The cubic root of 48073 is about 36.3608261086.

The spelling of 48073 in words is "forty-eight thousand, seventy-three".