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The number 51489

51489 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1907. Divisors (8): 1, 3, 9, 27, 1907, 5721, 17163, 51489.

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How to work it out

  1. 1

    What is special about 51489: a Harshad number: divisible by its digit sum 27.

  2. 2

    51489 is composite. Its prime factorisation is

    51489=33×190751489 = 3^{3} \times 1907
  3. 3

    The divisors add up to 76320; without 51489 itself that is 24831, so 51489 is deficient (24831 is less than 51489). Euler's totient φ(51489) = 34308 numbers up to 51489 share no factor with it.

  4. 4

    The digits of 51489 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51489 = 3^{3} \times 1907 \]

51489 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors76320
Euler totient φ(n)34308
Square2651117121
Cube136503369443169
Square root226.911877 (= 3√5721)
Digit sum / digital root27 / 9
Collatz steps to 1109
Scientific notation5.1489 × 10410^{4}

51489 in other forms

FormValue
In wordsfifty-one thousand four hundred and eighty-nine
Binary (base 2)1100100100100001
Octal (base 8)144441
Hexadecimal (base 16)C921
Base 32121122000
As time51489 seconds = 14 h 18 min 9 s

Is 51489 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (51489 ÷ 3 = 17163)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (51489 ÷ 9 = 5721)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 51489 a prime number?

No. 51489 = 333^{3} × 1907, so it is divisible by 3.

What are the factors of 51489?

1, 3, 9, 27, 1907, 5721, 17163, 51489.

What is 51489 in binary?

1100100100100001 (hexadecimal C921, octal 144441).

What is the square root of 51489?

About 226.9119, exactly 3√5721.

Is 51489 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 51489?

51489 is a Harshad number: divisible by its digit sum 27.

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