Search a number
-
+
54124841 is a prime number
BaseRepresentation
bin1100111001111…
…0000100101001
310202211211022202
43032132010221
5102323443331
65212025545
71225024241
oct316360451
9122754282
1054124841
1128608881
12161622b5
13b2a0a44
14728cb21
154b41ecb
hex339e129

54124841 has 2 divisors, whose sum is σ = 54124842. Its totient is φ = 54124840.

The previous prime is 54124813. The next prime is 54124849. The reversal of 54124841 is 14842145.

54124841 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., 36240400 + 17884441 = 6020^2 + 4229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54124841 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (54124849) 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, 27062420 + 27062421.

It is an arithmetic number, because the mean of its divisors is an integer number (27062421).

Almost surely, 254124841 is an apocalyptic number.

It is an amenable number.

54124841 is a deficient number, since it is larger than the sum of its proper divisors (1).

54124841 is an equidigital number, since it uses as much as digits as its factorization.

54124841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5120, while the sum is 29.

The square root of 54124841 is about 7356.9586786933. The cubic root of 54124841 is about 378.2673682055.

Adding to 54124841 its reverse (14842145), we get a palindrome (68966986).

The spelling of 54124841 in words is "fifty-four million, one hundred twenty-four thousand, eight hundred forty-one".