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498,420

498,420 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.).

498,420 (four hundred ninety-eight thousand four hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 13 × 71. Its proper divisors sum to 1,195,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79AF4.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
24,894
Square (n²)
248,422,496,400
Cube (n³)
123,818,740,655,688,000
Divisor count
96
σ(n) — sum of divisors
1,693,440
φ(n) — Euler's totient
120,960
Sum of prime factors
102

Primality

Prime factorization: 2 2 × 3 3 × 5 × 13 × 71

Nearest primes: 498,409 (−11) · 498,439 (+19)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 27 · 30 · 36 · 39 · 45 · 52 · 54 · 60 · 65 · 71 · 78 · 90 · 108 · 117 · 130 · 135 · 142 · 156 · 180 · 195 · 213 · 234 · 260 · 270 · 284 · 351 · 355 · 390 · 426 · 468 · 540 · 585 · 639 · 702 · 710 · 780 · 852 · 923 · 1065 · 1170 · 1278 · 1404 · 1420 · 1755 · 1846 · 1917 · 2130 · 2340 · 2556 · 2769 · 3195 · 3510 · 3692 · 3834 · 4260 · 4615 · 5538 · 6390 · 7020 · 7668 · 8307 · 9230 · 9585 · 11076 · 12780 · 13845 · 16614 · 18460 · 19170 · 24921 · 27690 · 33228 · 38340 · 41535 · 49842 · 55380 · 83070 · 99684 · 124605 · 166140 · 249210 (half) · 498420
Aliquot sum (sum of proper divisors): 1,195,020
Factor pairs (a × b = 498,420)
1 × 498420
2 × 249210
3 × 166140
4 × 124605
5 × 99684
6 × 83070
9 × 55380
10 × 49842
12 × 41535
13 × 38340
15 × 33228
18 × 27690
20 × 24921
26 × 19170
27 × 18460
30 × 16614
36 × 13845
39 × 12780
45 × 11076
52 × 9585
54 × 9230
60 × 8307
65 × 7668
71 × 7020
78 × 6390
90 × 5538
108 × 4615
117 × 4260
130 × 3834
135 × 3692
142 × 3510
156 × 3195
180 × 2769
195 × 2556
213 × 2340
234 × 2130
260 × 1917
270 × 1846
284 × 1755
351 × 1420
355 × 1404
390 × 1278
426 × 1170
468 × 1065
540 × 923
585 × 852
639 × 780
702 × 710
First multiples
498,420 · 996,840 (double) · 1,495,260 · 1,993,680 · 2,492,100 · 2,990,520 · 3,488,940 · 3,987,360 · 4,485,780 · 4,984,200

Sums & aliquot sequence

As consecutive integers: 166,139 + 166,140 + 166,141 99,682 + 99,683 + 99,684 + 99,685 + 99,686 62,299 + 62,300 + … + 62,306 55,376 + 55,377 + … + 55,384
Aliquot sequence: 498,420 1,195,020 2,524,500 6,910,380 15,023,700 32,070,074 17,058,694 9,948,110 7,958,506 4,902,422 3,542,410 2,872,790 2,298,250 2,166,470 1,733,194 889,946 477,658 — unresolved within range

Continued fraction of √n

√498,420 = [705; (1, 87, 4, 87, 1, 1410)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand four hundred twenty
Ordinal
498420th
Binary
1111001101011110100
Octal
1715364
Hexadecimal
0x79AF4
Base64
B5r0
One's complement
4,294,468,875 (32-bit)
Scientific notation
4.9842 × 10⁵
As a duration
498,420 s = 5 days, 18 hours, 27 minutes
In other bases
ternary (3) 221022201000
quaternary (4) 1321223310
quinary (5) 111422140
senary (6) 14403300
septenary (7) 4144056
nonary (9) 838630
undecimal (11) 31051a
duodecimal (12) 200530
tridecimal (13) 145b30
tetradecimal (14) cd8d6
pentadecimal (15) 9ca30

As an angle

498,420° = 1,384 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υϟηυκʹ
Chinese
四十九萬八千四百二十
Chinese (financial)
肆拾玖萬捌仟肆佰貳拾
In other modern scripts
Eastern Arabic ٤٩٨٤٢٠ Devanagari ४९८४२० Bengali ৪৯৮৪২০ Tamil ௪௯௮௪௨௦ Thai ๔๙๘๔๒๐ Tibetan ༤༩༨༤༢༠ Khmer ៤៩៨៤២០ Lao ໔໙໘໔໒໐ Burmese ၄၉၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498420, here are decompositions:

  • 11 + 498409 = 498420
  • 17 + 498403 = 498420
  • 19 + 498401 = 498420
  • 23 + 498397 = 498420
  • 29 + 498391 = 498420
  • 53 + 498367 = 498420
  • 59 + 498361 = 498420
  • 89 + 498331 = 498420

Showing the first eight; more decompositions exist.

Hex color
#079AF4
RGB(7, 154, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.154.244.

Address
0.7.154.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.154.244

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 498,420 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.