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The number 49379

49379 is a composite number with 6 divisors. Its prime factorisation is 11 Ɨ 67267^{2}. Divisors (6): 1, 11, 67, 737, 4489, 49379.

Number

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How to work it out

  1. 1

    What is special about 49379: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49379 is composite. Its prime factorisation is

    49379=11Ɨ67249379 = 11 \times 67^{2}
  3. 3

    The divisors add up to 54684; without 49379 itself that is 5305, so 49379 is deficient (5305 is less than 49379). Euler's totient φ(49379) = 44220 numbers up to 49379 share no factor with it.

  4. 4

    The digits of 49379 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49379 = 11 \times 67^{2} \]

49379 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors54684
Euler totient φ(n)44220
Square2438285641
Cube120400106666939
Square root222.213861 (= 67√11)
Digit sum / digital root32 / 5
Collatz steps to 139
Scientific notation4.9379 Ɨ 10410^{4}

49379 in other forms

FormValue
In wordsforty-nine thousand three hundred and seventy-nine
Binary (base 2)1100000011100011
Octal (base 8)140343
Hexadecimal (base 16)C0E3
Base 32111201212
As time49379 seconds = 13 h 42 min 59 s

Is 49379 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 (49379 Ć· 11 = 4489)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49379 a prime number?

No. 49379 = 11 Ɨ 67267^{2}, so it is divisible by 11.

What are the factors of 49379?

1, 11, 67, 737, 4489, 49379.

What is 49379 in binary?

1100000011100011 (hexadecimal C0E3, octal 140343).

What is the square root of 49379?

About 222.2139, exactly 67√11.

Is 49379 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 49379?

49379 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49379: is it prime? Factors, square root, binary, Roman numeral | WordGPT