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48073313 is a prime number
BaseRepresentation
bin1011011101100…
…0101001100001
310100110101012002
42313120221201
544301321223
64434213345
71122421301
oct267305141
9110411162
1048073313
1125155212
1214124255
139c62462
146555601
154348e28
hex2dd8a61

48073313 has 2 divisors, whose sum is σ = 48073314. Its totient is φ = 48073312.

The previous prime is 48073301. The next prime is 48073321. The reversal of 48073313 is 31337084.

48073313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25482304 + 22591009 = 5048^2 + 4753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48073313 is a prime.

It is a super-3 number, since 3×480733133 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (48073373) 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 as a sum of consecutive naturals, namely, 24036656 + 24036657.

It is an arithmetic number, because the mean of its divisors is an integer number (24036657).

Almost surely, 248073313 is an apocalyptic number.

It is an amenable number.

48073313 is a deficient number, since it is larger than the sum of its proper divisors (1).

48073313 is an equidigital number, since it uses as much as digits as its factorization.

48073313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 48073313 is about 6933.4921215791. The cubic root of 48073313 is about 363.6090502269.

The spelling of 48073313 in words is "forty-eight million, seventy-three thousand, three hundred thirteen".