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The number 49437

49437 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1831. Divisors (8): 1, 3, 9, 27, 1831, 5493, 16479, 49437.

Number

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How to work it out

  1. 1

    What is special about 49437: a Harshad number: divisible by its digit sum 27.

  2. 2

    49437 is composite. Its prime factorisation is

    49437=33×183149437 = 3^{3} \times 1831
  3. 3

    The divisors add up to 73280; without 49437 itself that is 23843, so 49437 is deficient (23843 is less than 49437). Euler's totient φ(49437) = 32940 numbers up to 49437 share no factor with it.

  4. 4

    The digits of 49437 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49437 = 3^{3} \times 1831 \]

49437 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors73280
Euler totient φ(n)32940
Square2444016969
Cube120824866896453
Square root222.344328 (= 3√5493)
Digit sum / digital root27 / 9
Collatz steps to 1158
Scientific notation4.9437 × 10410^{4}

49437 in other forms

FormValue
In wordsforty-nine thousand four hundred and thirty-seven
Binary (base 2)1100000100011101
Octal (base 8)140435
Hexadecimal (base 16)C11D
Base 32111211000
As time49437 seconds = 13 h 43 min 57 s

Is 49437 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).
3Yes (49437 ÷ 3 = 16479)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (49437 ÷ 9 = 5493)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49437 a prime number?

No. 49437 = 333^{3} × 1831, so it is divisible by 3.

What are the factors of 49437?

1, 3, 9, 27, 1831, 5493, 16479, 49437.

What is 49437 in binary?

1100000100011101 (hexadecimal C11D, octal 140435).

What is the square root of 49437?

About 222.3443, exactly 3√5493.

Is 49437 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 49437?

49437 is a Harshad number: divisible by its digit sum 27.

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