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488,009

488,009 is a prime, odd.

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.).

488,009 (four hundred eighty-eight thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x77249.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
900,884
Square (n²)
238,152,784,081
Cube (n³)
116,220,702,006,584,729
Divisor count
2
σ(n) — sum of divisors
488,010
φ(n) — Euler's totient
488,008

Primality

488,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,009)
1 × 488009
First multiples
488,009 · 976,018 (double) · 1,464,027 · 1,952,036 · 2,440,045 · 2,928,054 · 3,416,063 · 3,904,072 · 4,392,081 · 4,880,090

Sums & aliquot sequence

As a sum of two squares: 472² + 515²
As consecutive integers: 244,004 + 244,005

Continued fraction of √n

√488,009 = [698; (1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 2, 1, 7, 3, 1, 5, 4, 5, 5, 12, 3, 1, 1, 4, …)]

Representations

In words
four hundred eighty-eight thousand nine
Ordinal
488009th
Binary
1110111001001001001
Octal
1671111
Hexadecimal
0x77249
Base64
B3JJ
One's complement
4,294,479,286 (32-bit)
Scientific notation
4.88009 × 10⁵
As a duration
488,009 s = 5 days, 15 hours, 33 minutes, 29 seconds
In other bases
ternary (3) 220210102102
quaternary (4) 1313021021
quinary (5) 111104014
senary (6) 14243145
septenary (7) 4101524
nonary (9) 823372
undecimal (11) 303715
duodecimal (12) 1b64b5
tridecimal (13) 141182
tetradecimal (14) c9bbb
pentadecimal (15) 998de

As an angle

488,009° = 1,355 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπηθʹ
Chinese
四十八萬八千零九
Chinese (financial)
肆拾捌萬捌仟零玖
In other modern scripts
Eastern Arabic ٤٨٨٠٠٩ Devanagari ४८८००९ Bengali ৪৮৮০০৯ Tamil ௪௮௮௦௦௯ Thai ๔๘๘๐๐๙ Tibetan ༤༨༨༠༠༩ Khmer ៤៨៨០០៩ Lao ໔໘໘໐໐໙ Burmese ၄၈၈၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 488011, sexy with 488003.

Hex color
#077249
RGB(7, 114, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.114.73.

Address
0.7.114.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.114.73

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 488,009 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 488009 first appears in π at position 90,895 of the decimal expansion (the 90,895ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.