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20,488

20,488 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
88,402
Recamán's sequence
a(86,240) = 20,488
Square (n²)
419,758,144
Cube (n³)
8,600,004,854,272
Divisor count
16
σ(n) — sum of divisors
41,580
φ(n) — Euler's totient
9,408
Sum of prime factors
216

Primality

Prime factorization: 2 3 × 13 × 197

Nearest primes: 20,483 (−5) · 20,507 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 197 · 394 · 788 · 1576 · 2561 · 5122 · 10244 (half) · 20488
Aliquot sum (sum of proper divisors): 21,092
Factor pairs (a × b = 20,488)
1 × 20488
2 × 10244
4 × 5122
8 × 2561
13 × 1576
26 × 788
52 × 394
104 × 197
First multiples
20,488 · 40,976 (double) · 61,464 · 81,952 · 102,440 · 122,928 · 143,416 · 163,904 · 184,392 · 204,880

Sums & aliquot sequence

As a sum of two squares: 18² + 142² = 38² + 138²
As consecutive integers: 1,570 + 1,571 + … + 1,582 1,273 + 1,274 + … + 1,288 6 + 7 + … + 202
Aliquot sequence: 20,488 21,092 15,826 8,618 4,822 2,414 1,474 974 490 536 484 447 153 81 40 50 43 — unresolved within range

Representations

In words
twenty thousand four hundred eighty-eight
Ordinal
20488th
Binary
101000000001000
Octal
50010
Hexadecimal
0x5008
Base64
UAg=
One's complement
45,047 (16-bit)
In other bases
ternary (3) 1001002211
quaternary (4) 11000020
quinary (5) 1123423
senary (6) 234504
septenary (7) 113506
nonary (9) 31084
undecimal (11) 14436
duodecimal (12) ba34
tridecimal (13) 9430
tetradecimal (14) 7676
pentadecimal (15) 610d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κυπηʹ
Mayan (base 20)
𝋢·𝋫·𝋤·𝋨
Chinese
二萬零四百八十八
Chinese (financial)
貳萬零肆佰捌拾捌
In other modern scripts
Eastern Arabic ٢٠٤٨٨ Devanagari २०४८८ Bengali ২০৪৮৮ Tamil ௨௦௪௮௮ Thai ๒๐๔๘๘ Tibetan ༢༠༤༨༨ Khmer ២០៤៨៨ Lao ໒໐໔໘໘ Burmese ၂၀၄၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 20,488 = 2
e — Euler's number (e)
Digit 20,488 = 3
φ — Golden ratio (φ)
Digit 20,488 = 6
√2 — Pythagoras's (√2)
Digit 20,488 = 6
ln 2 — Natural log of 2
Digit 20,488 = 1
γ — Euler-Mascheroni (γ)
Digit 20,488 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20488, here are decompositions:

  • 5 + 20483 = 20488
  • 11 + 20477 = 20488
  • 47 + 20441 = 20488
  • 89 + 20399 = 20488
  • 131 + 20357 = 20488
  • 191 + 20297 = 20488
  • 227 + 20261 = 20488
  • 239 + 20249 = 20488

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5008
U+5008
Other letter (Lo)

UTF-8 encoding: E5 80 88 (3 bytes).

Hex color
#005008
RGB(0, 80, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.8.

Address
0.0.80.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.80.8

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000020488
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 20488 first appears in π at position 139,429 of the decimal expansion (the 139,429ordinal-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.