Math question: If I add 137 to a number and then multiply the result by 3, I get a total of 448. What is the number?

Let's denote the unknown number as 'x'. The problem gives us the equation: (x + 137) * 3 = 448. To solve for x, we can start by dividing both sides of the equation by 3: x + 137 = 448 ÷ 3. Simplifying, we get x + 137 = 149. Subtracting 137 from both sides, we find x = 149 - 137, which simplifies to x = 12. Therefore, the number we are looking for is 12.

Math question: What is the square root of the sum of the first three multiples of 448?

To find the answer, we need to calculate the sum of the first three multiples of 448, which are 448, 896, and 1344. Their sum is 448 + 896 + 1344 = 2688. Now, let's find the square root of 2688. By using a calculator, we get √2688 ≈ 51.83632792. Hence, the square root of the sum of the first three multiples of 448 is approximately 51.83632792.

Math question: How many different ways can you arrange the digits of the number 448?

To find the number of different arrangements, we start by considering that the number has repeating digits (two 4s and one 8). We can calculate this using the formula for permutation of items with repetition. First, we calculate the total number of possible arrangements without repetition, which is 3! (three factorial) since there are three digits. Thus, 3! = 3 × 2 × 1 = 6. However, this counts arrangements where the two 4s are switched, which means we have counted each arrangement twice (since the two 4s are indistinguishable). Therefore, we divide the result by the number of ways we can arrange the two 4s, which is 2! (two factorial), giving us 6 ÷ 2 = 3. Therefore, there are three different ways to arrange the digits of the number 448: 448, 484, and 844.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

448 (number)

448 is an even 3-digits composite number following 447 and preceding 449. In scientific notation, it is written as 4.48 × 10^2. The sum of its digits is 16. It has a total of 7 prime factors and 14 positive divisors. There are 192 positive integers (up to 448) that are relatively prime to 448.

Interesting facts

448 has 14 divisors, whose sum is 1016
The reverse of 448 is 844
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 16
Digital Root 7

Name

Name	four hundred forty-eight

Notation

Scientific notation	4.48 × 10^2
Engineering notation	4.48 × 10^0

Prime Factorization of 448

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 7

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	14	Product of the distinct prime numbers

The prime factorization of 448 is 2 × 2 × 2 × 2 × 2 × 2 × 7. Since it has a total of 7 prime factors.

Most popular turbo-numbers

7, 8, 30, 46, 994, 285, 5092, 379, 14338, 87065, 490387, 387406, 1571131, 7456798, 97016033, 82644860, 400428052, 704714451, 1007227571, 9491316145

Basic calculations (n = 448)

Multiplication

n×y

n×2	896
n×3	1344
n×4	1792
n×5	2240

Division

n÷y

n÷2	224
n÷3	149.33333333333
n÷3	112
n÷5	89.6

Exponentiation

n^y

n²	200704
n³	89915392
n⁴	40282095616
n⁵	18046378835968

Nth Root

^y√n

²√n	21.166010488517
³√n	7.6517247310896
⁴√n	4.6006532675824
⁵√n	3.3904364061449

Divisors of 448

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

14 divisors

τ	Total Divisors	14	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-447	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.071428571428571	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	14	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 448 can be divided by 14 positive divisors. The sum of these divisors (counting 448) is 1, the average is 0.071428571428571.

Base conversion 448

Base	System	Value
2	Binary	111000000
3	Ternary	121121
4	Quaternary	13000
5	Quinary	3243
6	Senary	2024
8	Octal	700
10	Decimal	448
12	Duodecimal	314
16	Hexadecimal	1c0
20	Vigesimal	128
36	Base36	cg

Cryptographic Hash Functions

md5	9b70e8fe62e40c570a322f1b0b659098
sha1	f04b1d726c615672552fa5116aa5b958d8d41676
sha256	a4ecdd704d258aa841bb3f9a1e3b0cafc59bd88810e542f8e7a0519809d78fe7
sha512	948eb80b302177143a778012c1e9eac62b7a85239964aca08bd7b2195ac4161aeafa972892b4057f9e8a26c3b814e110f1541a98a0a53e9e6891789c64412546
ripemd-160	16ab1146ae2b5d1f10d034e1e4c23ea14a024a73

448 as geometric shapes

Circle

Radius = n

Diameter	896
Circumference	2814.8670176165
Area	630530.21194609

Sphere

Radius = n

Volume	376636713.26913
Surface area	2522120.8477843
Circumference	2814.8670176165

Square

Length = n

Perimeter	1792
Area	200704
Diagonal	633.56767594315

Cube

Length = n

Surface area	1204224
Volume	89915392
Space diagonal	775.95876179086

Equilateral Triangle

Length = n

Perimeter	1344
Area	86907.381320576
Altitude	387.97938089543

Triangular Pyramid

Length = n

Surface area	86907.381320576
Volume	10596630.569374
Height	211.18922531438