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54144225 = 3252240641
BaseRepresentation
bin1100111010001…
…0110011100001
310202212210220200
43032202303201
5102330103400
65212255413
71225134612
oct316426341
9122783820
1054144225
11286213a3
1216171569
13b2a9805
147295c09
154b47b00
hex33a2ce1

54144225 has 18 divisors (see below), whose sum is σ = 96978726. Its totient is φ = 28876800.

The previous prime is 54144187. The next prime is 54144227. The reversal of 54144225 is 52244145.

54144225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33489 + 54110736 = 183^2 + 7356^2 .

It is not a de Polignac number, because 54144225 - 26 = 54144161 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54144227) 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 in 17 ways as a sum of consecutive naturals, for example, 120096 + ... + 120545.

It is an arithmetic number, because the mean of its divisors is an integer number (5387707).

Almost surely, 254144225 is an apocalyptic number.

It is an amenable number.

54144225 is a deficient number, since it is larger than the sum of its proper divisors (42834501).

54144225 is a wasteful number, since it uses less digits than its factorization.

54144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240657 (or 240649 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 54144225 is about 7358.2759529662. The cubic root of 54144225 is about 378.3125197440.

The spelling of 54144225 in words is "fifty-four million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 240641 721923 1203205 2165769 3609615 6016025 10828845 18048075 54144225