number.wiki
Live analysis

48,000

48,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
84
Recamán's sequence
a(65,892) = 48,000
Square (n²)
2,304,000,000
Cube (n³)
110,592,000,000,000
Divisor count
64
σ(n) — sum of divisors
159,120
φ(n) — Euler's totient
12,800
Sum of prime factors
32

Primality

Prime factorization: 2 7 × 3 × 5 3

Nearest primes: 47,981 (−19) · 48,017 (+17)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 125 · 128 · 150 · 160 · 192 · 200 · 240 · 250 · 300 · 320 · 375 · 384 · 400 · 480 · 500 · 600 · 640 · 750 · 800 · 960 · 1000 · 1200 · 1500 · 1600 · 1920 · 2000 · 2400 · 3000 · 3200 · 4000 · 4800 · 6000 · 8000 · 9600 · 12000 · 16000 · 24000 (half) · 48000
Aliquot sum (sum of proper divisors): 111,120
Factor pairs (a × b = 48,000)
1 × 48000
2 × 24000
3 × 16000
4 × 12000
5 × 9600
6 × 8000
8 × 6000
10 × 4800
12 × 4000
15 × 3200
16 × 3000
20 × 2400
24 × 2000
25 × 1920
30 × 1600
32 × 1500
40 × 1200
48 × 1000
50 × 960
60 × 800
64 × 750
75 × 640
80 × 600
96 × 500
100 × 480
120 × 400
125 × 384
128 × 375
150 × 320
160 × 300
192 × 250
200 × 240
First multiples
48,000 · 96,000 (double) · 144,000 · 192,000 · 240,000 · 288,000 · 336,000 · 384,000 · 432,000 · 480,000

Sums & aliquot sequence

As consecutive integers: 15,999 + 16,000 + 16,001 9,598 + 9,599 + 9,600 + 9,601 + 9,602 3,193 + 3,194 + … + 3,207 1,908 + 1,909 + … + 1,932
Aliquot sequence: 48,000 111,120 234,096 370,776 689,064 1,033,656 1,750,104 3,054,696 5,032,344 7,607,976 13,257,624 19,886,496 40,569,312 82,955,040 221,102,112 515,598,720 1,527,208,320 — unresolved within range

Representations

In words
forty-eight thousand
Ordinal
48000th
Binary
1011101110000000
Octal
135600
Hexadecimal
0xBB80
Base64
u4A=
One's complement
17,535 (16-bit)
In other bases
ternary (3) 2102211210
quaternary (4) 23232000
quinary (5) 3014000
senary (6) 1010120
septenary (7) 256641
nonary (9) 72753
undecimal (11) 33077
duodecimal (12) 23940
tridecimal (13) 18b04
tetradecimal (14) 136c8
pentadecimal (15) e350

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵μη
Mayan (base 20)
𝋦·𝋠·𝋠·𝋠
Chinese
四萬八千
Chinese (financial)
肆萬捌仟
In other modern scripts
Eastern Arabic ٤٨٠٠٠ Devanagari ४८००० Bengali ৪৮০০০ Tamil ௪௮௦௦௦ Thai ๔๘๐๐๐ Tibetan ༤༨༠༠༠ Khmer ៤៨០០០ Lao ໔໘໐໐໐ Burmese ၄၈၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 48,000 = 4
e — Euler's number (e)
Digit 48,000 = 3
φ — Golden ratio (φ)
Digit 48,000 = 6
√2 — Pythagoras's (√2)
Digit 48,000 = 1
ln 2 — Natural log of 2
Digit 48,000 = 3
γ — Euler-Mascheroni (γ)
Digit 48,000 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 48000, here are decompositions:

  • 19 + 47981 = 48000
  • 23 + 47977 = 48000
  • 31 + 47969 = 48000
  • 37 + 47963 = 48000
  • 53 + 47947 = 48000
  • 61 + 47939 = 48000
  • 67 + 47933 = 48000
  • 83 + 47917 = 48000

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Mwess
U+BB80
Other letter (Lo)

UTF-8 encoding: EB AE 80 (3 bytes).

Hex color
#00BB80
RGB(0, 187, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.187.128.

Address
0.0.187.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.187.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 48000 first appears in π at position 8,877 of the decimal expansion (the 8,877ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.