Search a number
-
+
54149789 is a prime number
BaseRepresentation
bin1100111010010…
…0001010011101
310202220002112202
43032210022131
5102330243124
65212341245
71225160051
oct316441235
9122802482
1054149789
11286255a1
1216174825
13b2ac1c5
147297c61
154b495ae
hex33a429d

54149789 has 2 divisors, whose sum is σ = 54149790. Its totient is φ = 54149788.

The previous prime is 54149773. The next prime is 54149801. The reversal of 54149789 is 98794145.

54149789 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., 48413764 + 5736025 = 6958^2 + 2395^2 .

It is a cyclic number.

It is not a de Polignac number, because 54149789 - 24 = 54149773 is a prime.

It is a super-3 number, since 3×541497893 (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54149489) 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, 27074894 + 27074895.

It is an arithmetic number, because the mean of its divisors is an integer number (27074895).

Almost surely, 254149789 is an apocalyptic number.

It is an amenable number.

54149789 is a deficient number, since it is larger than the sum of its proper divisors (1).

54149789 is an equidigital number, since it uses as much as digits as its factorization.

54149789 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 47.

The square root of 54149789 is about 7358.6540209470. The cubic root of 54149789 is about 378.3254780897.

The spelling of 54149789 in words is "fifty-four million, one hundred forty-nine thousand, seven hundred eighty-nine".