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The number 49328

49328 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 3083. Divisors (10): 1, 2, 4, 8, 16, 3083, 6166, 12332, 24664, 49328.

Number

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How to work it out

  1. 1

    49328 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

    49328 is composite. Its prime factorisation is

    49328=24×308349328 = 2^{4} \times 3083
  3. 3

    The divisors add up to 95604; without 49328 itself that is 46276, so 49328 is deficient (46276 is less than 49328). Euler's totient φ(49328) = 24656 numbers up to 49328 share no factor with it.

  4. 4

    The digits of 49328 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49328 = 2^{4} \times 3083 \]

49328 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors95604
Euler totient φ(n)24656
Square2433251584
Cube120027434135552
Square root222.099077 (= 4√3083)
Digit sum / digital root26 / 8
Collatz steps to 139
Scientific notation4.9328 × 10410^{4}

49328 in other forms

FormValue
In wordsforty-nine thousand three hundred and twenty-eight
Binary (base 2)1100000010110000
Octal (base 8)140260
Hexadecimal (base 16)C0B0
Base 32111122222
As time49328 seconds = 13 h 42 min 8 s

Is 49328 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49328 ÷ 2 = 24664)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (49328 ÷ 4 = 12332)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (49328 ÷ 8 = 6166)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49328 a prime number?

No. 49328 = 242^{4} × 3083, so it is divisible by 2.

What are the factors of 49328?

1, 2, 4, 8, 16, 3083, 6166, 12332, 24664, 49328.

What is 49328 in binary?

1100000010110000 (hexadecimal C0B0, octal 140260).

What is the square root of 49328?

About 222.0991, exactly 4√3083.

Is 49328 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 49328?

It is a composite number with 10 divisors.

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    49328: is it prime? Factors, square root, binary, Roman numeral | WordGPT