Math question: What is the sum of the odd numbers from 1 to 96?

To find the sum of odd numbers up to 96, we can use the formula for the sum of an arithmetic series. In this case, the first term is 1, the last term is 95 (since we want odd numbers only), and the common difference is 2. The formula for the sum of an arithmetic series is: S = (n/2)(2a + (n-1)d) where S is the sum, n is the number of terms, a is the first term, and d is the common difference. Plugging in the values, we get: S = (48/2)(2(1) + (48-1)(2)) S = 24(2 + 94(2)) S = 24(2 + 188) S = 24(190) S = 4560 Therefore, the sum of the odd numbers from 1 to 96 is 4560.

Math Question: If x is a positive integer, what is the largest value of x that satisfies the equation 96 - x^2 = 0?

To find the largest value of x that satisfies the given equation, we solve for x: 96 - x^2 = 0 Rearranging the equation, we have: x^2 = 96 Taking the square root of both sides, we obtain: x = ± √96 Now, since x has to be a positive integer, we take the positive square root: x = √96 To simplify √96, we can break it down: √96 = √(16 * 6) = √16 * √6 = 4 * √6 Hence, the largest value of x that satisfies the equation 96 - x^2 = 0 is x = 4√6, which is approximately 9.79796.

Math question: What is the sum of all prime numbers less than 96?

To find the sum of prime numbers less than 96, we must identify all primes below this value. The prime numbers less than 96 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, and 89. Adding these primes together, we get a sum of 1060. Hence, the sum of all prime numbers less than 96 is 1060.

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

96 (number)

96 is an even 2-digits composite number following 95 and preceding 97. In scientific notation, it is written as 9.6 × 10^1. The sum of its digits is 15. It has a total of 6 prime factors and 12 positive divisors. There are 32 positive integers (up to 96) that are relatively prime to 96.

Interesting facts

96 has 12 divisors, whose sum is 252
The reverse of 96 is 69
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 2
Sum of Digits 15
Digital Root 6

Name

Name	ninety-six

Notation

Scientific notation	9.6 × 10^1
Engineering notation	9.6 × 10^0

Prime Factorization of 96

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

Composite number

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

The prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3. Since it has a total of 6 prime factors.

Most popular turbo-numbers

10, 2, 44, 17, 445, 376, 1670, 3139, 85274, 92752, 475625, 859694, 7921726, 1160676, 18804286, 18097676, 677927620, 987505813, 3741963401, 6818160040

Basic calculations (n = 96)

Multiplication

n×y

n×2	192
n×3	288
n×4	384
n×5	480

Division

n÷y

n÷2	48
n÷3	32
n÷3	24
n÷5	19.2

Exponentiation

n^y

n²	9216
n³	884736
n⁴	84934656
n⁵	8153726976

Nth Root

^y√n

²√n	9.7979589711327
³√n	4.5788569702133
⁴√n	3.1301691601466
⁵√n	2.491461879231

Divisors of 96

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-95	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 96 can be divided by 12 positive divisors. The sum of these divisors (counting 96) is 1, the average is 0.083333333333333.

Base conversion 96

Base	System	Value
2	Binary	1100000
3	Ternary	10120
4	Quaternary	1200
5	Quinary	341
6	Senary	240
8	Octal	140
10	Decimal	96
12	Duodecimal	80
16	Hexadecimal	60
20	Vigesimal	4g
36	Base36	2o

Cryptographic Hash Functions

md5	26657d5ff9020d2abefe558796b99584
sha1	6fb84aed32facd1299ee1e77c8fd2b1a6352669e
sha256	7b1a278f5abe8e9da907fc9c29dfd432d60dc76e17b0fabab659d2a508bc65c4
sha512	891014f3aa311091ca567206aa98adf7d0395b10e39c5dc51fd2cec15e0732fa0d24a725cbfa5435e8973e2d2e4786c28c204bcab6c2c43c284fe08996be6b77
ripemd-160	1b0d655446716d642de88040fb4d23ad8140b793

96 as geometric shapes

Circle

Radius = n

Diameter	192
Circumference	603.18578948924
Area	28952.917895484

Sphere

Radius = n

Volume	3705973.4906219
Surface area	115811.67158193
Circumference	603.18578948924

Square

Length = n

Perimeter	384
Area	9216
Diagonal	135.76450198782

Cube

Length = n

Surface area	55296
Volume	884736
Space diagonal	166.27687752661

Equilateral Triangle

Length = n

Perimeter	288
Area	3990.6450606387
Altitude	83.138438763306

Triangular Pyramid

Length = n

Surface area	3990.6450606387
Volume	104267.13752664
Height	45.254833995939