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488,329

488,329 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.).

488,329 (four hundred eighty-eight thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x77389.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
13,824
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
923,884
Square (n²)
238,465,212,241
Cube (n³)
116,449,478,628,435,289
Divisor count
2
σ(n) — sum of divisors
488,330
φ(n) — Euler's totient
488,328

Primality

488,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,329)
1 × 488329
First multiples
488,329 · 976,658 (double) · 1,464,987 · 1,953,316 · 2,441,645 · 2,929,974 · 3,418,303 · 3,906,632 · 4,394,961 · 4,883,290

Sums & aliquot sequence

As a sum of two squares: 400² + 573²
As consecutive integers: 244,164 + 244,165

Continued fraction of √n

√488,329 = [698; (1, 4, 7, 5, 7, 2, 2, 35, 2, 3, 8, 2, 4, 2, 1, 1, 1, 1, 1, 6, 1, 1, 4, 1, …)]

Representations

In words
four hundred eighty-eight thousand three hundred twenty-nine
Ordinal
488329th
Binary
1110111001110001001
Octal
1671611
Hexadecimal
0x77389
Base64
B3OJ
One's complement
4,294,478,966 (32-bit)
Scientific notation
4.88329 × 10⁵
As a duration
488,329 s = 5 days, 15 hours, 38 minutes, 49 seconds
In other bases
ternary (3) 220210212021
quaternary (4) 1313032021
quinary (5) 111111304
senary (6) 14244441
septenary (7) 4102462
nonary (9) 823767
undecimal (11) 303986
duodecimal (12) 1b6721
tridecimal (13) 14136a
tetradecimal (14) c9d69
pentadecimal (15) 99a54

As an angle

488,329° = 1,356 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπητκθʹ
Chinese
四十八萬八千三百二十九
Chinese (financial)
肆拾捌萬捌仟參佰貳拾玖
In other modern scripts
Eastern Arabic ٤٨٨٣٢٩ Devanagari ४८८३२९ Bengali ৪৮৮৩২৯ Tamil ௪௮௮௩௨௯ Thai ๔๘๘๓๒๙ Tibetan ༤༨༨༣༢༩ Khmer ៤៨៨៣២៩ Lao ໔໘໘໓໒໙ Burmese ၄၈၈၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 488333.

Hex color
#077389
RGB(7, 115, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.137.

Address
0.7.115.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.115.137

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 488,329 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 488329 first appears in π at position 249,697 of the decimal expansion (the 249,697ordinal-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.