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48,984

48,984 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.).

48,984 (forty-eight thousand nine hundred eighty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 157. Its proper divisors sum to 83,736, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xBF58.

Abundant Number Evil Number Palindrome Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
33
Digit product
9,216
Digital root
6
Palindrome
Yes
Bit width
16 bits
Square (n²)
2,399,432,256
Cube (n³)
117,533,789,627,904
Divisor count
32
σ(n) — sum of divisors
132,720
φ(n) — Euler's totient
14,976
Sum of prime factors
179

Primality

Prime factorization: 2 3 × 3 × 13 × 157

Nearest primes: 48,973 (−11) · 48,989 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 157 · 312 · 314 · 471 · 628 · 942 · 1256 · 1884 · 2041 · 3768 · 4082 · 6123 · 8164 · 12246 · 16328 · 24492 (half) · 48984
Aliquot sum (sum of proper divisors): 83,736
Factor pairs (a × b = 48,984)
1 × 48984
2 × 24492
3 × 16328
4 × 12246
6 × 8164
8 × 6123
12 × 4082
13 × 3768
24 × 2041
26 × 1884
39 × 1256
52 × 942
78 × 628
104 × 471
156 × 314
157 × 312
First multiples
48,984 · 97,968 (double) · 146,952 · 195,936 · 244,920 · 293,904 · 342,888 · 391,872 · 440,856 · 489,840

Sums & aliquot sequence

As consecutive integers: 16,327 + 16,328 + 16,329 3,762 + 3,763 + … + 3,774 3,054 + 3,055 + … + 3,069 1,237 + 1,238 + … + 1,275
Aliquot sequence: 48,984 83,736 143,244 236,772 361,826 186,058 99,962 51,430 44,330 52,438 27,194 13,600 21,554 13,306 6,656 7,666 3,836 — unresolved within range

Continued fraction of √n

√48,984 = [221; (3, 10, 1, 2, 1, 2, 1, 16, 1, 35, 1, 16, 1, 2, 1, 2, 1, 10, 3, 442)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
forty-eight thousand nine hundred eighty-four
Ordinal
48984th
Binary
1011111101011000
Octal
137530
Hexadecimal
0xBF58
Base64
v1g=
One's complement
16,551 (16-bit)
Scientific notation
4.8984 × 10⁴
As a duration
48,984 s = 13 hours, 36 minutes, 24 seconds
In other bases
ternary (3) 2111012020
quaternary (4) 23331120
quinary (5) 3031414
senary (6) 1014440
septenary (7) 262545
nonary (9) 74166
undecimal (11) 33891
duodecimal (12) 24420
tridecimal (13) 193b0
tetradecimal (14) 13bcc
pentadecimal (15) e7a9

As an angle

48,984° = 136 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μηϡπδʹ
Mayan (base 20)
𝋦·𝋢·𝋩·𝋤
Chinese
四萬八千九百八十四
Chinese (financial)
肆萬捌仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٤٨٩٨٤ Devanagari ४८९८४ Bengali ৪৮৯৮৪ Tamil ௪௮௯௮௪ Thai ๔๘๙๘๔ Tibetan ༤༨༩༨༤ Khmer ៤៨៩៨៤ Lao ໔໘໙໘໔ Burmese ၄၈၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 48,984 = 1
e — Euler's number (e)
Digit 48,984 = 3
φ — Golden ratio (φ)
Digit 48,984 = 4
√2 — Pythagoras's (√2)
Digit 48,984 = 5
ln 2 — Natural log of 2
Digit 48,984 = 4
γ — Euler-Mascheroni (γ)
Digit 48,984 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 48984, here are decompositions:

  • 11 + 48973 = 48984
  • 31 + 48953 = 48984
  • 37 + 48947 = 48984
  • 101 + 48883 = 48984
  • 113 + 48871 = 48984
  • 127 + 48857 = 48984
  • 137 + 48847 = 48984
  • 163 + 48821 = 48984

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Bbok
U+BF58
Other letter (Lo)

UTF-8 encoding: EB BD 98 (3 bytes).

Hex color
#00BF58
RGB(0, 191, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.191.88.

Address
0.0.191.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.191.88

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

Position in π

The digit sequence 48984 first appears in π at position 69,342 of the decimal expansion (the 69,342ordinal-suffix:nd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.