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The number 56749

56749 is a composite number with 12 divisors. Its prime factorisation is 7 × 11211^{2} × 67. Divisors (12): 1, 7, 11, 67, 77, 121, 469, 737, 847, 5159, 8107, 56749.

Number

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How to work it out

  1. 1

    56749 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

    56749 is composite. Its prime factorisation is

    56749=7×112×6756749 = 7 \times 11^{2} \times 67
  3. 3

    The divisors add up to 72352; without 56749 itself that is 15603, so 56749 is deficient (15603 is less than 56749). Euler's totient φ(56749) = 43560 numbers up to 56749 share no factor with it.

  4. 4

    The digits of 56749 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56749 = 7 \times 11^{2} \times 67 \]

56749 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors72352
Euler totient φ(n)43560
Square3220449001
Cube182757260357749
Square root238.220486 (= 11√469)
Digit sum / digital root31 / 4
Collatz steps to 1104
Scientific notation5.6749 × 10410^{4}

56749 in other forms

FormValue
In wordsfifty-six thousand seven hundred and forty-nine
Binary (base 2)1101110110101101
Octal (base 8)156655
Hexadecimal (base 16)DDAD
Base 32212211211
As time56749 seconds = 15 h 45 min 49 s

Is 56749 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (56749 ÷ 7 = 8107)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11Yes (56749 ÷ 11 = 5159)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56749 a prime number?

No. 56749 = 7 × 11211^{2} × 67, so it is divisible by 7.

What are the factors of 56749?

1, 7, 11, 67, 77, 121, 469, 737, 847, 5159, 8107, 56749.

What is 56749 in binary?

1101110110101101 (hexadecimal DDAD, octal 156655).

What is the square root of 56749?

About 238.2205, exactly 11√469.

Is 56749 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 56749?

It is a composite number with 12 divisors.

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    56749: is it prime? Factors, square root, binary, Roman numeral | WordGPT