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478,998

478,998 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.).

478,998 (four hundred seventy-eight thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 13 × 23 × 89. Its proper divisors sum to 700,362, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74F16.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
45
Digit product
145,152
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
899,874
Square (n²)
229,439,084,004
Cube (n³)
109,900,862,359,747,992
Divisor count
48
σ(n) — sum of divisors
1,179,360
φ(n) — Euler's totient
139,392
Sum of prime factors
133

Primality

Prime factorization: 2 × 3 2 × 13 × 23 × 89

Nearest primes: 478,991 (−7) · 478,999 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 23 · 26 · 39 · 46 · 69 · 78 · 89 · 117 · 138 · 178 · 207 · 234 · 267 · 299 · 414 · 534 · 598 · 801 · 897 · 1157 · 1602 · 1794 · 2047 · 2314 · 2691 · 3471 · 4094 · 5382 · 6141 · 6942 · 10413 · 12282 · 18423 · 20826 · 26611 · 36846 · 53222 · 79833 · 159666 · 239499 (half) · 478998
Aliquot sum (sum of proper divisors): 700,362
Factor pairs (a × b = 478,998)
1 × 478998
2 × 239499
3 × 159666
6 × 79833
9 × 53222
13 × 36846
18 × 26611
23 × 20826
26 × 18423
39 × 12282
46 × 10413
69 × 6942
78 × 6141
89 × 5382
117 × 4094
138 × 3471
178 × 2691
207 × 2314
234 × 2047
267 × 1794
299 × 1602
414 × 1157
534 × 897
598 × 801
First multiples
478,998 · 957,996 (double) · 1,436,994 · 1,915,992 · 2,394,990 · 2,873,988 · 3,352,986 · 3,831,984 · 4,310,982 · 4,789,980

Sums & aliquot sequence

As consecutive integers: 159,665 + 159,666 + 159,667 119,748 + 119,749 + 119,750 + 119,751 53,218 + 53,219 + … + 53,226 39,911 + 39,912 + … + 39,922
Aliquot sequence: 478,998 700,362 996,606 1,329,354 2,096,406 3,267,498 3,840,918 3,840,930 6,145,722 8,380,998 9,777,870 15,644,826 19,508,838 19,508,850 34,708,104 63,384,696 108,282,384 — unresolved within range

Continued fraction of √n

√478,998 = [692; (10, 3, 25, 1, 3, 1, 6, 5, 5, 14, 1, 1, 7, 11, 3, 3, 1, 4, 1, 1, 2, 1, 4, 9, …)]

Representations

In words
four hundred seventy-eight thousand nine hundred ninety-eight
Ordinal
478998th
Binary
1110100111100010110
Octal
1647426
Hexadecimal
0x74F16
Base64
B08W
One's complement
4,294,488,297 (32-bit)
Scientific notation
4.78998 × 10⁵
As a duration
478,998 s = 5 days, 13 hours, 3 minutes, 18 seconds
In other bases
ternary (3) 220100001200
quaternary (4) 1310330112
quinary (5) 110311443
senary (6) 14133330
septenary (7) 4033332
nonary (9) 810050
undecimal (11) 2a7973
duodecimal (12) 1b1246
tridecimal (13) 13a040
tetradecimal (14) c67c2
pentadecimal (15) 96dd3

As an angle

478,998° = 1,330 × 360° + 198°
198° ≈ 3.456 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοηϡϟηʹ
Chinese
四十七萬八千九百九十八
Chinese (financial)
肆拾柒萬捌仟玖佰玖拾捌
In other modern scripts
Eastern Arabic ٤٧٨٩٩٨ Devanagari ४७८९९८ Bengali ৪৭৮৯৯৮ Tamil ௪௭௮௯௯௮ Thai ๔๗๘๙๙๘ Tibetan ༤༧༨༩༩༨ Khmer ៤៧៨៩៩៨ Lao ໔໗໘໙໙໘ Burmese ၄၇၈၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478998, here are decompositions:

  • 7 + 478991 = 478998
  • 31 + 478967 = 478998
  • 61 + 478937 = 478998
  • 67 + 478931 = 478998
  • 71 + 478927 = 478998
  • 97 + 478901 = 478998
  • 101 + 478897 = 478998
  • 127 + 478871 = 478998

Showing the first eight; more decompositions exist.

Hex color
#074F16
RGB(7, 79, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.79.22.

Address
0.7.79.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.79.22

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 478,998 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 478998 first appears in π at position 629,789 of the decimal expansion (the 629,789ordinal-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

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