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The number 49160

49160 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 1229. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1229, 2458, 4916, 6145, 9832, 12290, 24580, 49160.

Number

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How to work it out

  1. 1

    What is special about 49160: a Harshad number: divisible by its digit sum 20.

  2. 2

    49160 is composite. Its prime factorisation is

    49160=23×5×122949160 = 2^{3} \times 5 \times 1229
  3. 3

    The divisors add up to 110700; without 49160 itself that is 61540, so 49160 is abundant (61540 is more than 49160). Euler's totient φ(49160) = 19648 numbers up to 49160 share no factor with it.

  4. 4

    The digits of 49160 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49160 = 2^{3} \times 5 \times 1229 \]

49160 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors110700
Euler totient φ(n)19648
Square2416705600
Cube118805247296000
Square root221.720545 (= 2√12290)
Digit sum / digital root20 / 2
Collatz steps to 152
Scientific notation4.916 × 10410^{4}

49160 in other forms

FormValue
In wordsforty-nine thousand one hundred and sixty
Binary (base 2)1100000000001000
Octal (base 8)140010
Hexadecimal (base 16)C008
Base 32111102202
As time49160 seconds = 13 h 39 min 20 s

Is 49160 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49160 ÷ 2 = 24580)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.
4Yes (49160 ÷ 4 = 12290)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49160 ÷ 5 = 9832)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 (49160 ÷ 8 = 6145)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49160 ÷ 10 = 4916)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49160 a prime number?

No. 49160 = 232^{3} × 5 × 1229, so it is divisible by 2.

What are the factors of 49160?

1, 2, 4, 5, 8, 10, 20, 40, 1229, 2458, 4916, 6145, 9832, 12290, 24580, 49160.

What is 49160 in binary?

1100000000001000 (hexadecimal C008, octal 140010).

What is the square root of 49160?

About 221.7205, exactly 2√12290.

Is 49160 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 49160?

49160 is a Harshad number: divisible by its digit sum 20.

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