Recognised as Number
-448
- Negative
- Even
- 3 digits
-448 is an even 3-digit integer and the negative of 448. It has 14 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value448
Digit count3
Digit sum16
Digit product128
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^6 × 7
Distinct prime factors22, 7
Number of divisors14
Sum of divisors σ(n)1,016
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 44814 in total
Arithmetic
Representations
Decimal-448
Binary1110000009 bits
Octal700
Hexadecimal1C0
Base 36CG
In wordsminus four hundred and forty-eight
Ordinalminus four hundred and forty-eighth
Scientific notation-4.48 × 10^2
Engineering notation-448
In other bases
Ternary121121base 3; the most digit-efficient integer base after e: 6 digits
Quinary3243base 5; one hand: 4 digits
Septenary1210base 7: 4 digits
Nonary547base 9; each digit is two ternary digits: 3 digits
Duodecimal314base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal128base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT10111Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111001000000
Bit length9 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits6within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 66 trailing zeros
Power of twoNo
Bytes201 c0
Gray code100100000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111001000000two's complement
32-bit11111111111111111111111001000000two's complement
64-bit1111111111111111111111111111111111111111111111111111111001000000two's complement
One's complement0000000110111111at 16 bits, every bit flipped
Bits reversed0000001001111111at 16 bits
Rotated left by 11111110010000001at 16 bits, wrapping
Shifted left by 1-1110000000= -896, no wrap
Shifted right by 1-11100000= -224, discarding the low bit
These bits as a double2.21341409 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-448 to the power 2200,704
-448 to the power 3-89,915,392
-448 to the power 440,282,095,616
-448 to the power 5-18,046,378,835,968
First ten multiples-448, -896, -1,344, -1,792, -2,240, -2,688, -3,136, -3,584, -4,032, -4,480
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 8
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48
As a percentage & fraction
As a percentage-44,800%
-448% as a decimal-4.48
-448% of 100-448
-448% of 1,000-4,480
As a fraction of 100-448/100
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