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The number 49420

49420 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 5 × 7 × 353. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 353, 706, 1412, 1765 … 49420.

Number

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How to work it out

  1. 1

    49420 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

    49420 is composite. Its prime factorisation is

    49420=22×5×7×35349420 = 2^{2} \times 5 \times 7 \times 353
  3. 3

    The divisors add up to 118944; without 49420 itself that is 69524, so 49420 is abundant (69524 is more than 49420). Euler's totient φ(49420) = 16896 numbers up to 49420 share no factor with it.

  4. 4

    The digits of 49420 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49420 = 2^{2} \times 5 \times 7 \times 353 \]

49420 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors118944
Euler totient φ(n)16896
Square2442336400
Cube120700264888000
Square root222.306095 (= 2√12355)
Digit sum / digital root19 / 1
Collatz steps to 1114
Scientific notation4.942 × 10410^{4}

49420 in other forms

FormValue
In wordsforty-nine thousand four hundred and twenty
Binary (base 2)1100000100001100
Octal (base 8)140414
Hexadecimal (base 16)C10C
Base 32111210101
As time49420 seconds = 13 h 43 min 40 s

Is 49420 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49420 ÷ 2 = 24710)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (49420 ÷ 4 = 12355)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49420 ÷ 5 = 9884)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (49420 ÷ 7 = 7060)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49420 ÷ 10 = 4942)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49420 a prime number?

No. 49420 = 222^{2} × 5 × 7 × 353, so it is divisible by 2.

What are the factors of 49420?

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 353, 706, 1412, 1765, 2471, 3530, 4942, 7060, 9884, 12355, 24710, 49420.

What is 49420 in binary?

1100000100001100 (hexadecimal C10C, octal 140414).

What is the square root of 49420?

About 222.3061, exactly 2√12355.

Is 49420 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 49420?

It is a composite number with 24 divisors.

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    49420: is it prime? Factors, square root, binary, Roman numeral | WordGPT