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498,680

498,680 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.).

498,680 (four hundred ninety-eight thousand six hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 13 × 137. Its proper divisors sum to 892,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79BF8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
86,894
Square (n²)
248,681,742,400
Cube (n³)
124,012,611,300,032,000
Divisor count
64
σ(n) — sum of divisors
1,391,040
φ(n) — Euler's totient
156,672
Sum of prime factors
168

Primality

Prime factorization: 2 3 × 5 × 7 × 13 × 137

Nearest primes: 498,679 (−1) · 498,689 (+9)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 40 · 52 · 56 · 65 · 70 · 91 · 104 · 130 · 137 · 140 · 182 · 260 · 274 · 280 · 364 · 455 · 520 · 548 · 685 · 728 · 910 · 959 · 1096 · 1370 · 1781 · 1820 · 1918 · 2740 · 3562 · 3640 · 3836 · 4795 · 5480 · 7124 · 7672 · 8905 · 9590 · 12467 · 14248 · 17810 · 19180 · 24934 · 35620 · 38360 · 49868 · 62335 · 71240 · 99736 · 124670 · 249340 (half) · 498680
Aliquot sum (sum of proper divisors): 892,360
Factor pairs (a × b = 498,680)
1 × 498680
2 × 249340
4 × 124670
5 × 99736
7 × 71240
8 × 62335
10 × 49868
13 × 38360
14 × 35620
20 × 24934
26 × 19180
28 × 17810
35 × 14248
40 × 12467
52 × 9590
56 × 8905
65 × 7672
70 × 7124
91 × 5480
104 × 4795
130 × 3836
137 × 3640
140 × 3562
182 × 2740
260 × 1918
274 × 1820
280 × 1781
364 × 1370
455 × 1096
520 × 959
548 × 910
685 × 728
First multiples
498,680 · 997,360 (double) · 1,496,040 · 1,994,720 · 2,493,400 · 2,992,080 · 3,490,760 · 3,989,440 · 4,488,120 · 4,986,800

Sums & aliquot sequence

As consecutive integers: 99,734 + 99,735 + 99,736 + 99,737 + 99,738 71,237 + 71,238 + … + 71,243 38,354 + 38,355 + … + 38,366 31,160 + 31,161 + … + 31,175
Aliquot sequence: 498,680 892,360 1,403,000 2,078,920 2,598,740 2,858,656 2,815,124 2,617,996 1,963,504 1,840,816 1,763,616 2,866,128 4,910,160 10,713,840 22,499,808 36,883,488 59,935,920 — unresolved within range

Continued fraction of √n

√498,680 = [706; (5, 1, 3, 1, 2, 2, 2, 1, 3, 1, 5, 1412)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand six hundred eighty
Ordinal
498680th
Binary
1111001101111111000
Octal
1715770
Hexadecimal
0x79BF8
Base64
B5v4
One's complement
4,294,468,615 (32-bit)
Scientific notation
4.9868 × 10⁵
As a duration
498,680 s = 5 days, 18 hours, 31 minutes, 20 seconds
In other bases
ternary (3) 221100001122
quaternary (4) 1321233320
quinary (5) 111424210
senary (6) 14404412
septenary (7) 4144610
nonary (9) 840048
undecimal (11) 310736
duodecimal (12) 200708
tridecimal (13) 145ca0
tetradecimal (14) cda40
pentadecimal (15) 9cb55
Palindromic in base 3, base 9

As an angle

498,680° = 1,385 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟηχπʹ
Chinese
四十九萬八千六百八十
Chinese (financial)
肆拾玖萬捌仟陸佰捌拾
In other modern scripts
Eastern Arabic ٤٩٨٦٨٠ Devanagari ४९८६८० Bengali ৪৯৮৬৮০ Tamil ௪௯௮௬௮௦ Thai ๔๙๘๖๘๐ Tibetan ༤༩༨༦༨༠ Khmer ៤៩៨៦៨០ Lao ໔໙໘໖໘໐ Burmese ၄၉၈၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498680, here are decompositions:

  • 37 + 498643 = 498680
  • 67 + 498613 = 498680
  • 97 + 498583 = 498680
  • 103 + 498577 = 498680
  • 157 + 498523 = 498680
  • 211 + 498469 = 498680
  • 241 + 498439 = 498680
  • 271 + 498409 = 498680

Showing the first eight; more decompositions exist.

Hex color
#079BF8
RGB(7, 155, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.155.248.

Address
0.7.155.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.155.248

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 498,680 and was likely granted around 1893.

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

Position in π

The digit sequence 498680 first appears in π at position 305,412 of the decimal expansion (the 305,412ordinal-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°.