number.wiki
Live analysis

498,480

498,480 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.).

498,480 (four hundred ninety-eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 31 × 67. Its proper divisors sum to 1,120,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79B30.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Smith Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
84,894
Square (n²)
248,482,310,400
Cube (n³)
123,863,462,088,192,000
Divisor count
80
σ(n) — sum of divisors
1,618,944
φ(n) — Euler's totient
126,720
Sum of prime factors
114

Primality

Prime factorization: 2 4 × 3 × 5 × 31 × 67

Nearest primes: 498,469 (−11) · 498,493 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 31 · 40 · 48 · 60 · 62 · 67 · 80 · 93 · 120 · 124 · 134 · 155 · 186 · 201 · 240 · 248 · 268 · 310 · 335 · 372 · 402 · 465 · 496 · 536 · 620 · 670 · 744 · 804 · 930 · 1005 · 1072 · 1240 · 1340 · 1488 · 1608 · 1860 · 2010 · 2077 · 2480 · 2680 · 3216 · 3720 · 4020 · 4154 · 5360 · 6231 · 7440 · 8040 · 8308 · 10385 · 12462 · 16080 · 16616 · 20770 · 24924 · 31155 · 33232 · 41540 · 49848 · 62310 · 83080 · 99696 · 124620 · 166160 · 249240 (half) · 498480
Aliquot sum (sum of proper divisors): 1,120,464
Factor pairs (a × b = 498,480)
1 × 498480
2 × 249240
3 × 166160
4 × 124620
5 × 99696
6 × 83080
8 × 62310
10 × 49848
12 × 41540
15 × 33232
16 × 31155
20 × 24924
24 × 20770
30 × 16616
31 × 16080
40 × 12462
48 × 10385
60 × 8308
62 × 8040
67 × 7440
80 × 6231
93 × 5360
120 × 4154
124 × 4020
134 × 3720
155 × 3216
186 × 2680
201 × 2480
240 × 2077
248 × 2010
268 × 1860
310 × 1608
335 × 1488
372 × 1340
402 × 1240
465 × 1072
496 × 1005
536 × 930
620 × 804
670 × 744
First multiples
498,480 · 996,960 (double) · 1,495,440 · 1,993,920 · 2,492,400 · 2,990,880 · 3,489,360 · 3,987,840 · 4,486,320 · 4,984,800

Sums & aliquot sequence

As consecutive integers: 166,159 + 166,160 + 166,161 99,694 + 99,695 + 99,696 + 99,697 + 99,698 33,225 + 33,226 + … + 33,239 16,065 + 16,066 + … + 16,095
Aliquot sequence: 498,480 1,120,464 2,129,328 4,352,400 12,868,720 18,022,160 29,903,344 29,904,336 84,374,064 165,859,920 424,102,320 1,046,196,432 2,053,684,528 2,640,459,472 3,502,706,864 3,617,611,216 3,617,612,208 — unresolved within range

Continued fraction of √n

√498,480 = [706; (32, 10, 1, 10, 1, 3, 5, 1, 1, 1, 7, 2, 1, 1, 1, 87, 1, 1, 1, 2, 7, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand four hundred eighty
Ordinal
498480th
Binary
1111001101100110000
Octal
1715460
Hexadecimal
0x79B30
Base64
B5sw
One's complement
4,294,468,815 (32-bit)
Scientific notation
4.9848 × 10⁵
As a duration
498,480 s = 5 days, 18 hours, 28 minutes
In other bases
ternary (3) 221022210020
quaternary (4) 1321230300
quinary (5) 111422410
senary (6) 14403440
septenary (7) 4144203
nonary (9) 838706
undecimal (11) 310574
duodecimal (12) 200580
tridecimal (13) 145b78
tetradecimal (14) cd93a
pentadecimal (15) 9ca70

As an angle

498,480° = 1,384 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟηυπʹ
Chinese
四十九萬八千四百八十
Chinese (financial)
肆拾玖萬捌仟肆佰捌拾
In other modern scripts
Eastern Arabic ٤٩٨٤٨٠ Devanagari ४९८४८० Bengali ৪৯৮৪৮০ Tamil ௪௯௮௪௮௦ Thai ๔๙๘๔๘๐ Tibetan ༤༩༨༤༨༠ Khmer ៤៩៨៤៨០ Lao ໔໙໘໔໘໐ Burmese ၄၉၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498480, here are decompositions:

  • 11 + 498469 = 498480
  • 13 + 498467 = 498480
  • 19 + 498461 = 498480
  • 41 + 498439 = 498480
  • 71 + 498409 = 498480
  • 79 + 498401 = 498480
  • 83 + 498397 = 498480
  • 89 + 498391 = 498480

Showing the first eight; more decompositions exist.

Hex color
#079B30
RGB(7, 155, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.155.48.

Address
0.7.155.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.155.48

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 498,480 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 498480 first appears in π at position 116,209 of the decimal expansion (the 116,209ordinal-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°.