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54137269 is a prime number
BaseRepresentation
bin1100111010000…
…1000110110101
310202212110101001
43032201012311
5102324343034
65212203301
71225105414
oct316410665
9122773331
1054137269
112861714a
1216169531
13b2a65b4
14729347b
154b45a14
hex33a11b5

54137269 has 2 divisors, whose sum is σ = 54137270. Its totient is φ = 54137268.

The previous prime is 54137267. The next prime is 54137309. The reversal of 54137269 is 96273145.

54137269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50951044 + 3186225 = 7138^2 + 1785^2 .

It is a cyclic number.

It is not a de Polignac number, because 54137269 - 21 = 54137267 is a prime.

It is a super-2 number, since 2×541372692 = 5861687789556722, which contains 22 as substring.

Together with 54137267, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54137263) 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, 27068634 + 27068635.

It is an arithmetic number, because the mean of its divisors is an integer number (27068635).

Almost surely, 254137269 is an apocalyptic number.

It is an amenable number.

54137269 is a deficient number, since it is larger than the sum of its proper divisors (1).

54137269 is an equidigital number, since it uses as much as digits as its factorization.

54137269 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The square root of 54137269 is about 7357.8032727167. The cubic root of 54137269 is about 378.2963182341.

The spelling of 54137269 in words is "fifty-four million, one hundred thirty-seven thousand, two hundred sixty-nine".