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54042181 is a prime number
BaseRepresentation
bin1100111000100…
…1111001000101
310202200121221021
43032021321011
5102313322211
65210151141
71224231244
oct316117105
9122617837
1054042181
1128561766
12161224b1
13b27222b
14726a95b
154b27771
hex3389e45

54042181 has 2 divisors, whose sum is σ = 54042182. Its totient is φ = 54042180.

The previous prime is 54042097. The next prime is 54042187. The reversal of 54042181 is 18124045.

54042181 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., 49350625 + 4691556 = 7025^2 + 2166^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54042181 is a prime.

It is a super-2 number, since 2×540421812 = 5841114654473522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54042187) 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, 27021090 + 27021091.

It is an arithmetic number, because the mean of its divisors is an integer number (27021091).

Almost surely, 254042181 is an apocalyptic number.

It is an amenable number.

54042181 is a deficient number, since it is larger than the sum of its proper divisors (1).

54042181 is an equidigital number, since it uses as much as digits as its factorization.

54042181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 54042181 is about 7351.3387216207. The cubic root of 54042181 is about 378.0747055206.

The spelling of 54042181 in words is "fifty-four million, forty-two thousand, one hundred eighty-one".