The number 56448

Q: Is 56448 a prime number?

No. 56448 = 2^7 × 3^2 × 7^2, so it is divisible by 2.

56448 is a composite number with 72 divisors. Its prime factorisation is $2^{7}$ × $3^{2}$ × $7^{2}$ . Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32 … 56448.

Number

Pick any whole number from 1 to 100,000.

56448 = 2^{7} \times 3^{2} \times 7^{2}

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How to work it out

1
56448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
56448 is composite. Its prime factorisation is
$56448 = 2^{7} \times 3^{2} \times 7^{2}$
3
The divisors add up to 188955; without 56448 itself that is 132507, so 56448 is abundant (132507 is more than 56448). Euler's totient φ(56448) = 16128 numbers up to 56448 share no factor with it.
4
The digits of 56448 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 34 steps to reach 1.

LaTeX source of the formulas on this page

\[ 56448 = 2^{7} \times 3^{2} \times 7^{2} \]

56448 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	188955
Euler totient φ(n)	16128
Square	3186376704
Cube	179864592187392
Square root	237.587878 (= 168√2)
Digit sum / digital root	27 / 9
Collatz steps to 1	34
Scientific notation	5.6448 × $10^{4}$

56448 in other forms

Form	Value
In words	fifty-six thousand four hundred and forty-eight
Binary (base 2)	1101110010000000
Octal (base 8)	156200
Hexadecimal (base 16)	DC80
Base 3	2212102200
As time	56448 seconds = 15 h 40 min 48 s

Is 56448 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (56448 ÷ 2 = 28224)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (56448 ÷ 3 = 18816)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (56448 ÷ 4 = 14112)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (56448 ÷ 6 = 9408)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (56448 ÷ 7 = 8064)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (56448 ÷ 8 = 7056)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (56448 ÷ 9 = 6272)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (56448 ÷ 12 = 4704)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56448 a prime number?

No. 56448 = $2^{7}$ × $3^{2}$ × $7^{2}$ , so it is divisible by 2.

What are the factors of 56448?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 64, 72, 84, 96, 98, 112, 126, 128, 144, 147, 168, 192, 196, 224, 252, 288, 294, 336, 384, 392, 441, 448, 504, 576, 588, 672, 784, 882, 896, 1008, 1152, 1176, 1344, 1568, 1764, 2016, 2352, 2688, 3136, 3528, 4032, 4704, 6272, 7056, 8064, 9408, 14112, 18816, 28224, 56448.

What is 56448 in binary?

1101110010000000 (hexadecimal DC80, octal 156200).

What is the square root of 56448?

About 237.5879, exactly 168√2.

Is 56448 divisible by 3?

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

What is special about the number 56448?

It is a composite number with 72 divisors.