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The number 49473

49473 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 23 × 239. Divisors (12): 1, 3, 9, 23, 69, 207, 239, 717, 2151, 5497, 16491, 49473.

Number

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How to work it out

  1. 1

    49473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    49473 is composite. Its prime factorisation is

    49473=32×23×23949473 = 3^{2} \times 23 \times 239
  3. 3

    The divisors add up to 74880; without 49473 itself that is 25407, so 49473 is deficient (25407 is less than 49473). Euler's totient φ(49473) = 31416 numbers up to 49473 share no factor with it.

  4. 4

    The digits of 49473 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 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49473 = 3^{2} \times 23 \times 239 \]

49473 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors74880
Euler totient φ(n)31416
Square2447577729
Cube121089012986817
Square root222.425268 (= 3√5497)
Digit sum / digital root27 / 9
Collatz steps to 165
Scientific notation4.9473 × 10410^{4}

49473 in other forms

FormValue
In wordsforty-nine thousand four hundred and seventy-three
Binary (base 2)1100000101000001
Octal (base 8)140501
Hexadecimal (base 16)C141
Base 32111212100
As time49473 seconds = 13 h 44 min 33 s

Is 49473 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 (49473 ÷ 3 = 16491)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 3)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 (49473 ÷ 9 = 5497)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 49473 a prime number?

No. 49473 = 323^{2} × 23 × 239, so it is divisible by 3.

What are the factors of 49473?

1, 3, 9, 23, 69, 207, 239, 717, 2151, 5497, 16491, 49473.

What is 49473 in binary?

1100000101000001 (hexadecimal C141, octal 140501).

What is the square root of 49473?

About 222.4253, exactly 3√5497.

Is 49473 divisible by 3?

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

What is special about the number 49473?

It is a composite number with 12 divisors.

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    49473: is it prime? Factors, square root, binary, Roman numeral | WordGPT