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54315337 is a prime number
BaseRepresentation
bin1100111100110…
…0100101001001
310210012111122011
43033030211021
5102401042322
65220055521
71226446516
oct317144511
9123174564
1054315337
1128728a0a
12162345a1
13b33966b
1472dc30d
154b7d677
hex33cc949

54315337 has 2 divisors, whose sum is σ = 54315338. Its totient is φ = 54315336.

The previous prime is 54315311. The next prime is 54315353. The reversal of 54315337 is 73351345.

54315337 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., 31236921 + 23078416 = 5589^2 + 4804^2 .

It is a cyclic number.

It is not a de Polignac number, because 54315337 - 211 = 54313289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54315299 and 54315308.

It is not a weakly prime, because it can be changed into another prime (54315307) 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, 27157668 + 27157669.

It is an arithmetic number, because the mean of its divisors is an integer number (27157669).

Almost surely, 254315337 is an apocalyptic number.

It is an amenable number.

54315337 is a deficient number, since it is larger than the sum of its proper divisors (1).

54315337 is an equidigital number, since it uses as much as digits as its factorization.

54315337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 31.

The square root of 54315337 is about 7369.8939612453. The cubic root of 54315337 is about 378.7106276899.

The spelling of 54315337 in words is "fifty-four million, three hundred fifteen thousand, three hundred thirty-seven".