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47971013 is a prime number
BaseRepresentation
bin1011011011111…
…1101011000101
310100021011212012
42312333223011
544240033023
64432104005
71121514116
oct266775305
9110234765
1047971013
1125095372
1214095005
139c27a1c
14652a20d
154328978
hex2dbfac5

47971013 has 2 divisors, whose sum is σ = 47971014. Its totient is φ = 47971012.

The previous prime is 47971003. The next prime is 47971037. The reversal of 47971013 is 31017974.

47971013 = 48972 + 48982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23990404 + 23980609 = 4898^2 + 4897^2 .

It is a cyclic number.

It is not a de Polignac number, because 47971013 - 212 = 47966917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47971003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23985506 + 23985507.

It is an arithmetic number, because the mean of its divisors is an integer number (23985507).

Almost surely, 247971013 is an apocalyptic number.

47971013 is the 4898-th centered square number.

It is an amenable number.

47971013 is a deficient number, since it is larger than the sum of its proper divisors (1).

47971013 is an equidigital number, since it uses as much as digits as its factorization.

47971013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 47971013 is about 6926.1109578175. The cubic root of 47971013 is about 363.3509470648.

Adding to 47971013 its reverse (31017974), we get a palindrome (78988987).

The spelling of 47971013 in words is "forty-seven million, nine hundred seventy-one thousand, thirteen".