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47137313 is a prime number
BaseRepresentation
bin1011001111010…
…0001000100001
310021200211020102
42303310020201
544031343223
64402152145
71111442366
oct263641041
9107624212
1047137313
1124675a63
1213952655
1399c5402
14639046d
154211928
hex2cf4221

47137313 has 2 divisors, whose sum is σ = 47137314. Its totient is φ = 47137312.

The previous prime is 47137303. The next prime is 47137333. The reversal of 47137313 is 31373174.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45468049 + 1669264 = 6743^2 + 1292^2 .

It is a cyclic number.

It is not a de Polignac number, because 47137313 - 214 = 47120929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47137303) 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, 23568656 + 23568657.

It is an arithmetic number, because the mean of its divisors is an integer number (23568657).

Almost surely, 247137313 is an apocalyptic number.

It is an amenable number.

47137313 is a deficient number, since it is larger than the sum of its proper divisors (1).

47137313 is an equidigital number, since it uses as much as digits as its factorization.

47137313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 29.

The square root of 47137313 is about 6865.6618763234. The cubic root of 47137313 is about 361.2337122241.

It can be divided in two parts, 4 and 7137313, that added together give a palindrome (7137317).

The spelling of 47137313 in words is "forty-seven million, one hundred thirty-seven thousand, three hundred thirteen".