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20,048

20,048 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.).

20,048 (twenty thousand forty-eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 179. Its proper divisors sum to 24,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4E50.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
84,002
Square (n²)
401,922,304
Cube (n³)
8,057,738,350,592
Divisor count
20
σ(n) — sum of divisors
44,640
φ(n) — Euler's totient
8,544
Sum of prime factors
194

Primality

Prime factorization: 2 4 × 7 × 179

Nearest primes: 20,047 (−1) · 20,051 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 179 · 358 · 716 · 1253 · 1432 · 2506 · 2864 · 5012 · 10024 (half) · 20048
Aliquot sum (sum of proper divisors): 24,592
Factor pairs (a × b = 20,048)
1 × 20048
2 × 10024
4 × 5012
7 × 2864
8 × 2506
14 × 1432
16 × 1253
28 × 716
56 × 358
112 × 179
First multiples
20,048 · 40,096 (double) · 60,144 · 80,192 · 100,240 · 120,288 · 140,336 · 160,384 · 180,432 · 200,480

Sums & aliquot sequence

As consecutive integers: 2,861 + 2,862 + … + 2,867 611 + 612 + … + 642 23 + 24 + … + 201
Aliquot sequence: 20,048 24,592 25,628 20,572 16,668 25,556 19,174 9,590 10,282 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 — unresolved within range

Continued fraction of √n

√20,048 = [141; (1, 1, 2, 4, 40, 4, 2, 1, 1, 282)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
twenty thousand forty-eight
Ordinal
20048th
Binary
100111001010000
Octal
47120
Hexadecimal
0x4E50
Base64
TlA=
One's complement
45,487 (16-bit)
Scientific notation
2.0048 × 10⁴
As a duration
20,048 s = 5 hours, 34 minutes, 8 seconds
In other bases
ternary (3) 1000111112
quaternary (4) 10321100
quinary (5) 1120143
senary (6) 232452
septenary (7) 112310
nonary (9) 30445
undecimal (11) 14076
duodecimal (12) b728
tridecimal (13) 9182
tetradecimal (14) 7440
pentadecimal (15) 5e18

As an angle

20,048° = 55 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κμηʹ
Mayan (base 20)
𝋢·𝋪·𝋢·𝋨
Chinese
二萬零四十八
Chinese (financial)
貳萬零肆拾捌
In other modern scripts
Eastern Arabic ٢٠٠٤٨ Devanagari २००४८ Bengali ২০০৪৮ Tamil ௨௦௦௪௮ Thai ๒๐๐๔๘ Tibetan ༢༠༠༤༨ Khmer ២០០៤៨ Lao ໒໐໐໔໘ Burmese ၂၀၀၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 20,048 = 7
e — Euler's number (e)
Digit 20,048 = 0
φ — Golden ratio (φ)
Digit 20,048 = 4
√2 — Pythagoras's (√2)
Digit 20,048 = 3
ln 2 — Natural log of 2
Digit 20,048 = 9
γ — Euler-Mascheroni (γ)
Digit 20,048 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20048, here are decompositions:

  • 19 + 20029 = 20048
  • 37 + 20011 = 20048
  • 157 + 19891 = 20048
  • 181 + 19867 = 20048
  • 229 + 19819 = 20048
  • 271 + 19777 = 20048
  • 331 + 19717 = 20048
  • 349 + 19699 = 20048

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E50
U+4E50
Other letter (Lo)

UTF-8 encoding: E4 B9 90 (3 bytes).

Hex color
#004E50
RGB(0, 78, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.80.

Address
0.0.78.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.80

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

Position in π

The digit sequence 20048 first appears in π at position 142,408 of the decimal expansion (the 142,408ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.