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27738041 is a prime number
BaseRepresentation
bin110100111001…
…1111110111001
31221012020102212
41221303332321
524100104131
62430304505
7454524632
oct151637671
957166385
1027738041
1114726001
129358135
135992556
143980889
15267da2b
hex1a73fb9

27738041 has 2 divisors, whose sum is σ = 27738042. Its totient is φ = 27738040.

The previous prime is 27738031. The next prime is 27738047. The reversal of 27738041 is 14083772.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24601600 + 3136441 = 4960^2 + 1771^2 .

It is a cyclic number.

It is not a de Polignac number, because 27738041 - 218 = 27475897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27737989 and 27738007.

It is not a weakly prime, because it can be changed into another prime (27738047) 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, 13869020 + 13869021.

It is an arithmetic number, because the mean of its divisors is an integer number (13869021).

Almost surely, 227738041 is an apocalyptic number.

It is an amenable number.

27738041 is a deficient number, since it is larger than the sum of its proper divisors (1).

27738041 is an equidigital number, since it uses as much as digits as its factorization.

27738041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 27738041 is about 5266.6916560589. The cubic root of 27738041 is about 302.7089501874.

The spelling of 27738041 in words is "twenty-seven million, seven hundred thirty-eight thousand, forty-one".