Live analysis

498,000

498,000 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.).

498,000 (four hundred ninety-eight thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 83. Its proper divisors sum to 1,126,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79950.

Abundant Number Gapful Number Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

497,988 497,989 497,990 497,991 497,992 497,993 497,994 497,995 497,996 497,997 497,998 497,999 498,000 498,001 498,002 498,003 498,004 498,005 498,006 498,007 498,008 498,009 498,010 498,011 498,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 894
Square (n²): 248,004,000,000
Cube (n³): 123,505,992,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 1,624,896
φ(n) — Euler's totient: 131,200
Sum of prime factors: 109

Primality

Prime factorization: 2 ⁴ × 3 × 5 ³ × 83

Nearest primes: 497,999 (−1) · 498,013 (+13)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 83 · 100 · 120 · 125 · 150 · 166 · 200 · 240 · 249 · 250 · 300 · 332 · 375 · 400 · 415 · 498 · 500 · 600 · 664 · 750 · 830 · 996 · 1000 · 1200 · 1245 · 1328 · 1500 · 1660 · 1992 · 2000 · 2075 · 2490 · 3000 · 3320 · 3984 · 4150 · 4980 · 6000 · 6225 · 6640 · 8300 · 9960 · 10375 · 12450 · 16600 · 19920 · 20750 · 24900 · 31125 · 33200 · 41500 · 49800 · 62250 · 83000 · 99600 · 124500 · 166000 · 249000 (half) · 498000

Aliquot sum (sum of proper divisors): 1,126,896

Factor pairs (a × b = 498,000)

1 × 498000

2 × 249000

3 × 166000

4 × 124500

5 × 99600

6 × 83000

8 × 62250

10 × 49800

12 × 41500

15 × 33200

16 × 31125

20 × 24900

24 × 20750

25 × 19920

30 × 16600

40 × 12450

48 × 10375

50 × 9960

60 × 8300

75 × 6640

80 × 6225

83 × 6000

100 × 4980

120 × 4150

125 × 3984

150 × 3320

166 × 3000

200 × 2490

240 × 2075

249 × 2000

250 × 1992

300 × 1660

332 × 1500

375 × 1328

400 × 1245

415 × 1200

498 × 1000

500 × 996

600 × 830

664 × 750

First multiples

498,000 · 996,000 (double) · 1,494,000 · 1,992,000 · 2,490,000 · 2,988,000 · 3,486,000 · 3,984,000 · 4,482,000 · 4,980,000

Sums & aliquot sequence

As consecutive integers: 165,999 + 166,000 + 166,001 99,598 + 99,599 + 99,600 + 99,601 + 99,602 33,193 + 33,194 + … + 33,207 19,908 + 19,909 + … + 19,932

Aliquot sequence: 498,000 → 1,126,896 → 1,957,728 → 3,181,560 → 6,363,480 → 13,738,920 → 30,653,400 → 66,483,240 → 135,519,960 → 271,040,280 → 698,713,320 → 1,488,571,800 → 3,258,624,360 → 6,942,295,320 → 14,226,037,320 — keeps growing

Continued fraction of √n

√498,000 = [705; (1, 2, 4, 4, 1, 7, 1, 1, 5, 2, 1, 1, 1, 55, 1, 4, 1, 4, 19, 1, 2, 21, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-eight thousand
Ordinal: 498000th
Binary: 1111001100101010000
Octal: 1714520
Hexadecimal: 0x79950
Base64: B5lQ
One's complement: 4,294,469,295 (32-bit)
Scientific notation: 4.98 × 10⁵
As a duration: 498,000 s = 5 days, 18 hours, 20 minutes

In other bases

ternary (3) 221022010110

quaternary (4) 1321211100

quinary (5) 111414000

senary (6) 14401320

septenary (7) 4142616

nonary (9) 838113

undecimal (11) 310178

duodecimal (12) 200240

tridecimal (13) 145899

tetradecimal (14) cd6b6

pentadecimal (15) 9c850

As an angle

498,000° = 1,383 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵υϟη
Chinese: 四十九萬八千
Chinese (financial): 肆拾玖萬捌仟

In other modern scripts

Eastern Arabic ٤٩٨٠٠٠ Devanagari ४९८००० Bengali ৪৯৮০০০ Tamil ௪௯௮௦௦௦ Thai ๔๙๘๐๐๐ Tibetan ༤༩༨༠༠༠ Khmer ៤៩៨០០០ Lao ໔໙໘໐໐໐ Burmese ၄၉၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498000, here are decompositions:

7 + 497993 = 498000
11 + 497989 = 498000
23 + 497977 = 498000
31 + 497969 = 498000
37 + 497963 = 498000
43 + 497957 = 498000
71 + 497929 = 498000
101 + 497899 = 498000

Showing the first eight; more decompositions exist.

Hex color

#079950

RGB(7, 153, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.153.80.

Address: 0.7.153.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.153.80

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 498,000 and was likely granted around 1893.

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

Look up US498,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 498000 first appears in π at position 45,071 of the decimal expansion (the 45,071ordinal-suffix:st 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 498000 on Pi Search ↗