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54144153 = 337286477
BaseRepresentation
bin1100111010001…
…0110010011001
310202212210211000
43032202302121
5102330103103
65212255213
71225134450
oct316426231
9122783730
1054144153
1128621338
1216171509
13b2a977b
147295b97
154b47aa3
hex33a2c99

54144153 has 16 divisors (see below), whose sum is σ = 91672960. Its totient is φ = 30939408.

The previous prime is 54144121. The next prime is 54144157. The reversal of 54144153 is 35144145.

It is a happy number.

54144153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54144153 - 25 = 54144121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54144157) 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 15 ways as a sum of consecutive naturals, for example, 143050 + ... + 143427.

It is an arithmetic number, because the mean of its divisors is an integer number (5729560).

Almost surely, 254144153 is an apocalyptic number.

It is an amenable number.

54144153 is a deficient number, since it is larger than the sum of its proper divisors (37528807).

54144153 is a wasteful number, since it uses less digits than its factorization.

54144153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286493 (or 286487 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 54144153 is about 7358.2710605141. The cubic root of 54144153 is about 378.3123520529.

Adding to 54144153 its reverse (35144145), we get a palindrome (89288298).

The spelling of 54144153 in words is "fifty-four million, one hundred forty-four thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 286477 859431 2005339 2578293 6016017 7734879 18048051 54144153