Math Question: If a jar contains 1152 marbles and 25% of them are red, how many red marbles are there?

To find the number of red marbles in the jar, we first determine 25% of 1152. We can do this by multiplying 1152 by 0.25. Calculating, we get 1152 * 0.25 = 288. Hence, there are 288 red marbles in the jar.

Math question: What is the smallest positive integer that, when divided by 32, leaves a remainder of 0, when divided by 36, leaves a remainder of 0, and when divided by 48, leaves a remainder of 0?

The smallest positive integer that satisfies the given conditions can be found by finding the least common multiple (LCM) of 32, 36, and 48. The prime factors of 32 are 2^5, 36 can be written as 2^2 * 3^2 and 48 can be written as 2^4 * 3. Taking the highest power of each prime factor, the LCM is given by 2^5 * 3^2 = 1152. Therefore, 1152 is the smallest positive integer that, when divided by 32, 36, and 48, leaves a remainder of 0 each time.

Math question: What is the sum of the factors of 1152?

To find the sum of the factors of 1152, we need to list all the factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152. Adding them up, we get the sum of factors as 5376.

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

1152 (number)

1152 is an even 4-digits composite number following 1151 and preceding 1153. In scientific notation, it is written as 1.152 × 10^3. The sum of its digits is 9. It has a total of 9 prime factors and 24 positive divisors. There are 384 positive integers (up to 1152) that are relatively prime to 1152.

Interesting facts

1152 has 24 divisors, whose sum is 3315
The reverse of 1152 is 2511
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	one thousand one hundred fifty-two

Notation

Scientific notation	1.152 × 10^3
Engineering notation	1.152 × 10^3

Prime Factorization of 1152

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	9	Total number of prime factors
rad	Radical	6	Product of the distinct prime numbers

The prime factorization of 1152 is 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3. Since it has a total of 9 prime factors.

Most popular turbo-numbers

8, 10, 91, 95, 40, 106, 5372, 9506, 80410, 14683, 570528, 498520, 8556703, 4482242, 35447422, 94724679, 427877360, 734814444, 7332053346, 6327041694

Basic calculations (n = 1152)

Multiplication

n×y

n×2	2304
n×3	3456
n×4	4608
n×5	5760

Division

n÷y

n÷2	576
n÷3	384
n÷3	288
n÷5	230.4

Exponentiation

n^y

n²	1327104
n³	1528823808
n⁴	1761205026816
n⁵	2028908190892032

Nth Root

^y√n

²√n	33.941125496954
³√n	10.482965576836
⁴√n	5.8259012604879
⁵√n	4.0953450221584

Divisors of 1152

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1151	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	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	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1152 can be divided by 24 positive divisors. The sum of these divisors (counting 1152) is 1, the average is 0.041666666666667.

Base conversion 1152

Base	System	Value
2	Binary	10010000000
3	Ternary	1120200
4	Quaternary	102000
5	Quinary	14102
6	Senary	5200
8	Octal	2200
10	Decimal	1152
12	Duodecimal	800
16	Hexadecimal	480
20	Vigesimal	2hc
36	Base36	w0

Cryptographic Hash Functions

md5	45f31d16b1058d586fc3be7207b58053
sha1	827ac818d422f57b93682a8478afa2d4f026513d
sha256	a367613375c7fcd7402955ec5143e208948604a13765c1805450f350ba570d3d
sha512	abeb01e88659b5ef4d0cc19b0a0d8c34136223463cca65b9784b40d999bd1e871c788155341536289fda8d46d2523ccc4c427c5313731d0bdc7badcbf45372fb
ripemd-160	9bd804b49baf744bcfe00a3b38001cd650ee3a29

1152 as geometric shapes

Circle

Radius = n

Diameter	2304
Circumference	7238.2294738709
Area	4169220.1769496

Sphere

Radius = n

Volume	6403922191.7946
Surface area	16676880.707799
Circumference	7238.2294738709

Square

Length = n

Perimeter	4608
Area	1327104
Diagonal	1629.1740238538

Cube

Length = n

Surface area	7962624
Volume	1528823808
Space diagonal	1995.3225303193

Equilateral Triangle

Length = n

Perimeter	3456
Area	574652.88873197
Altitude	997.66126515967

Triangular Pyramid

Length = n

Surface area	574652.88873197
Volume	180173613.64604
Height	543.05800795127