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The number 49460

49460 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 2473. Divisors (12): 1, 2, 4, 5, 10, 20, 2473, 4946, 9892, 12365, 24730, 49460.

Number

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How to work it out

  1. 1

    49460 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

    49460 is composite. Its prime factorisation is

    49460=22×5×247349460 = 2^{2} \times 5 \times 2473
  3. 3

    The divisors add up to 103908; without 49460 itself that is 54448, so 49460 is abundant (54448 is more than 49460). Euler's totient φ(49460) = 19776 numbers up to 49460 share no factor with it.

  4. 4

    The digits of 49460 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49460 = 2^{2} \times 5 \times 2473 \]

49460 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors103908
Euler totient φ(n)19776
Square2446291600
Cube120993582536000
Square root222.396043 (= 2√12365)
Digit sum / digital root23 / 5
Collatz steps to 165
Scientific notation4.946 × 10410^{4}

49460 in other forms

FormValue
In wordsforty-nine thousand four hundred and sixty
Binary (base 2)1100000100110100
Octal (base 8)140464
Hexadecimal (base 16)C134
Base 32111211212
As time49460 seconds = 13 h 44 min 20 s

Is 49460 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49460 ÷ 2 = 24730)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 (49460 ÷ 4 = 12365)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49460 ÷ 5 = 9892)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 5)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49460 ÷ 10 = 4946)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 49460 a prime number?

No. 49460 = 222^{2} × 5 × 2473, so it is divisible by 2.

What are the factors of 49460?

1, 2, 4, 5, 10, 20, 2473, 4946, 9892, 12365, 24730, 49460.

What is 49460 in binary?

1100000100110100 (hexadecimal C134, octal 140464).

What is the square root of 49460?

About 222.3960, exactly 2√12365.

Is 49460 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 49460?

It is a composite number with 12 divisors.

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    49460: is it prime? Factors, square root, binary, Roman numeral | WordGPT