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The number 49768

49768 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 6221. Divisors (8): 1, 2, 4, 8, 6221, 12442, 24884, 49768.

Number

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How to work it out

  1. 1

    49768 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

    49768 is composite. Its prime factorisation is

    49768=23×622149768 = 2^{3} \times 6221
  3. 3

    The divisors add up to 93330; without 49768 itself that is 43562, so 49768 is deficient (43562 is less than 49768). Euler's totient φ(49768) = 24880 numbers up to 49768 share no factor with it.

  4. 4

    The digits of 49768 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49768 = 2^{3} \times 6221 \]

49768 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors93330
Euler totient φ(n)24880
Square2476853824
Cube123268061112832
Square root223.087427 (= 2√12442)
Digit sum / digital root34 / 7
Collatz steps to 139
Scientific notation4.9768 × 10410^{4}

49768 in other forms

FormValue
In wordsforty-nine thousand seven hundred and sixty-eight
Binary (base 2)1100001001101000
Octal (base 8)141150
Hexadecimal (base 16)C268
Base 32112021021
As time49768 seconds = 13 h 49 min 28 s

Is 49768 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49768 ÷ 2 = 24884)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 (49768 ÷ 4 = 12442)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 4)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.
8Yes (49768 ÷ 8 = 6221)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49768 a prime number?

No. 49768 = 232^{3} × 6221, so it is divisible by 2.

What are the factors of 49768?

1, 2, 4, 8, 6221, 12442, 24884, 49768.

What is 49768 in binary?

1100001001101000 (hexadecimal C268, octal 141150).

What is the square root of 49768?

About 223.0874, exactly 2√12442.

Is 49768 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 49768?

It is a composite number with 8 divisors.

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    49768: is it prime? Factors, square root, binary, Roman numeral | WordGPT