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The number 49542

49542 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 359. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 359, 718, 1077, 2154, 8257, 16514, 24771, 49542.

Number

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How to work it out

  1. 1

    49542 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

    49542 is composite. Its prime factorisation is

    49542=2×3×23×35949542 = 2 \times 3 \times 23 \times 359
  3. 3

    The divisors add up to 103680; without 49542 itself that is 54138, so 49542 is abundant (54138 is more than 49542). Euler's totient φ(49542) = 15752 numbers up to 49542 share no factor with it.

  4. 4

    The digits of 49542 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49542 = 2 \times 3 \times 23 \times 359 \]

49542 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors103680
Euler totient φ(n)15752
Square2454409764
Cube121596368528088
Square root222.580323
Digit sum / digital root24 / 6
Collatz steps to 196
Scientific notation4.9542 × 10410^{4}

49542 in other forms

FormValue
In wordsforty-nine thousand five hundred and forty-two
Binary (base 2)1100000110000110
Octal (base 8)140606
Hexadecimal (base 16)C186
Base 32111221220
As time49542 seconds = 13 h 45 min 42 s

Is 49542 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49542 ÷ 2 = 24771)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (49542 ÷ 3 = 16514)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (49542 ÷ 6 = 8257)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49542 a prime number?

No. 49542 = 2 × 3 × 23 × 359, so it is divisible by 2.

What are the factors of 49542?

1, 2, 3, 6, 23, 46, 69, 138, 359, 718, 1077, 2154, 8257, 16514, 24771, 49542.

What is 49542 in binary?

1100000110000110 (hexadecimal C186, octal 140606).

What is the square root of 49542?

About 222.5803.

Is 49542 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 49542?

It is a composite number with 16 divisors.

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    49542: is it prime? Factors, square root, binary, Roman numeral | WordGPT