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The number 49836

49836 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 3 × 4153. Divisors (12): 1, 2, 3, 4, 6, 12, 4153, 8306, 12459, 16612, 24918, 49836.

Number

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How to work it out

  1. 1

    49836 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

    49836 is composite. Its prime factorisation is

    49836=22×3×415349836 = 2^{2} \times 3 \times 4153
  3. 3

    The divisors add up to 116312; without 49836 itself that is 66476, so 49836 is abundant (66476 is more than 49836). Euler's totient φ(49836) = 16608 numbers up to 49836 share no factor with it.

  4. 4

    The digits of 49836 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49836 = 2^{2} \times 3 \times 4153 \]

49836 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors116312
Euler totient φ(n)16608
Square2483626896
Cube123774029989056
Square root223.239781 (= 2√12459)
Digit sum / digital root30 / 3
Collatz steps to 139
Scientific notation4.9836 × 10410^{4}

49836 in other forms

FormValue
In wordsforty-nine thousand eight hundred and thirty-six
Binary (base 2)1100001010101100
Octal (base 8)141254
Hexadecimal (base 16)C2AC
Base 32112100210
As time49836 seconds = 13 h 50 min 36 s

Is 49836 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49836 ÷ 2 = 24918)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (49836 ÷ 3 = 16612)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (49836 ÷ 4 = 12459)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (49836 ÷ 6 = 8306)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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.
12Yes (49836 ÷ 12 = 4153)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49836 a prime number?

No. 49836 = 222^{2} × 3 × 4153, so it is divisible by 2.

What are the factors of 49836?

1, 2, 3, 4, 6, 12, 4153, 8306, 12459, 16612, 24918, 49836.

What is 49836 in binary?

1100001010101100 (hexadecimal C2AC, octal 141254).

What is the square root of 49836?

About 223.2398, exactly 2√12459.

Is 49836 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 49836?

It is a composite number with 12 divisors.

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    49836: is it prime? Factors, square root, binary, Roman numeral | WordGPT