Live analysis

488,000

488,000 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.).

488,000 (four hundred eighty-eight thousand) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 61. Its proper divisors sum to 740,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77240.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

487,988 487,989 487,990 487,991 487,992 487,993 487,994 487,995 487,996 487,997 487,998 487,999 488,000 488,001 488,002 488,003 488,004 488,005 488,006 488,007 488,008 488,009 488,010 488,011 488,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 884
Square (n²): 238,144,000,000
Cube (n³): 116,214,272,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 1,228,344
φ(n) — Euler's totient: 192,000
Sum of prime factors: 88

Primality

Prime factorization: 2 ⁶ × 5 ³ × 61

Nearest primes: 487,997 (−3) · 488,003 (+3)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 61 · 64 · 80 · 100 · 122 · 125 · 160 · 200 · 244 · 250 · 305 · 320 · 400 · 488 · 500 · 610 · 800 · 976 · 1000 · 1220 · 1525 · 1600 · 1952 · 2000 · 2440 · 3050 · 3904 · 4000 · 4880 · 6100 · 7625 · 8000 · 9760 · 12200 · 15250 · 19520 · 24400 · 30500 · 48800 · 61000 · 97600 · 122000 · 244000 (half) · 488000

Aliquot sum (sum of proper divisors): 740,344

Factor pairs (a × b = 488,000)

1 × 488000

2 × 244000

4 × 122000

5 × 97600

8 × 61000

10 × 48800

16 × 30500

20 × 24400

25 × 19520

32 × 15250

40 × 12200

50 × 9760

61 × 8000

64 × 7625

80 × 6100

100 × 4880

122 × 4000

125 × 3904

160 × 3050

200 × 2440

244 × 2000

250 × 1952

305 × 1600

320 × 1525

400 × 1220

488 × 1000

500 × 976

610 × 800

First multiples

488,000 · 976,000 (double) · 1,464,000 · 1,952,000 · 2,440,000 · 2,928,000 · 3,416,000 · 3,904,000 · 4,392,000 · 4,880,000

Sums & aliquot sequence

As a sum of two squares: 160² + 680² = 280² + 640² = 344² + 608² = 448² + 536²

As consecutive integers: 97,598 + 97,599 + 97,600 + 97,601 + 97,602 19,508 + 19,509 + … + 19,532 7,970 + 7,971 + … + 8,030 3,842 + 3,843 + … + 3,966

Aliquot sequence: 488,000 → 740,344 → 814,856 → 931,384 → 814,976 → 808,864 → 1,102,304 → 1,626,856 → 2,405,144 → 2,930,056 → 2,582,084 → 1,936,570 → 1,662,278 → 831,142 → 519,398 → 330,562 → 191,438 — unresolved within range

Continued fraction of √n

√488,000 = [698; (1, 1, 3, 13, 1, 2, 5, 1, 1, 55, 2, 1, 11, 13, 1, 7, 1, 2, 1, 55, 7, 349, 7, 55, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: four hundred eighty-eight thousand
Ordinal: 488000th
Binary: 1110111001001000000
Octal: 1671100
Hexadecimal: 0x77240
Base64: B3JA
One's complement: 4,294,479,295 (32-bit)
Scientific notation: 4.88 × 10⁵
As a duration: 488,000 s = 5 days, 15 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 220210102002

quaternary (4) 1313021000

quinary (5) 111104000

senary (6) 14243132

septenary (7) 4101512

nonary (9) 823362

undecimal (11) 303707

duodecimal (12) 1b64a8

tridecimal (13) 141176

tetradecimal (14) c9bb2

pentadecimal (15) 998d5

As an angle

488,000° = 1,355 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵υπη
Chinese: 四十八萬八千
Chinese (financial): 肆拾捌萬捌仟

In other modern scripts

Eastern Arabic ٤٨٨٠٠٠ Devanagari ४८८००० Bengali ৪৮৮০০০ Tamil ௪௮௮௦௦௦ Thai ๔๘๘๐๐๐ Tibetan ༤༨༨༠༠༠ Khmer ៤៨៨០០០ Lao ໔໘໘໐໐໐ Burmese ၄၈၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488000, here are decompositions:

3 + 487997 = 488000
67 + 487933 = 488000
103 + 487897 = 488000
109 + 487891 = 488000
127 + 487873 = 488000
157 + 487843 = 488000
181 + 487819 = 488000
211 + 487789 = 488000

Showing the first eight; more decompositions exist.

Hex color

#077240

RGB(7, 114, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.114.64.

Address: 0.7.114.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.114.64

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 488,000 and was likely granted around 1892.

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

Look up US488,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 488000 first appears in π at position 209,953 of the decimal expansion (the 209,953ordinal-suffix:rd 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.

Look up 488000 on Pi Search ↗