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498,960

498,960 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.).

498,960 (four hundred ninety-eight thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 200 divisors, and factors as 2⁴ × 3⁴ × 5 × 7 × 11. Its proper divisors sum to 1,661,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79D10.

Abundant Number Gapful Number Harshad / Niven Highly Abundant Highly Composite Number Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
69,894
Square (n²)
248,961,081,600
Cube (n³)
124,221,621,275,136,000
Divisor count
200
σ(n) — sum of divisors
2,160,576
φ(n) — Euler's totient
103,680
Sum of prime factors
43

Primality

Prime factorization: 2 4 × 3 4 × 5 × 7 × 11

Nearest primes: 498,947 (−13) · 498,961 (+1)

Divisors & multiples

All divisors (200)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 11 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 22 · 24 · 27 · 28 · 30 · 33 · 35 · 36 · 40 · 42 · 44 · 45 · 48 · 54 · 55 · 56 · 60 · 63 · 66 · 70 · 72 · 77 · 80 · 81 · 84 · 88 · 90 · 99 · 105 · 108 · 110 · 112 · 120 · 126 · 132 · 135 · 140 · 144 · 154 · 162 · 165 · 168 · 176 · 180 · 189 · 198 · 210 · 216 · 220 · 231 · 240 · 252 · 264 · 270 · 280 · 297 · 308 · 315 · 324 · 330 · 336 · 360 · 378 · 385 · 396 · 405 · 420 · 432 · 440 · 462 · 495 · 504 · 528 · 540 · 560 · 567 · 594 · 616 · 630 · 648 · 660 · 693 · 720 · 756 · 770 · 792 · 810 · 840 · 880 · 891 · 924 · 945 · 990 · 1008 · 1080 · 1134 · 1155 · 1188 · 1232 · 1260 · 1296 · 1320 · 1386 · 1485 · 1512 · 1540 · 1584 · 1620 · 1680 · 1782 · 1848 · 1890 · 1980 · 2079 · 2160 · 2268 · 2310 · 2376 · 2520 · 2640 · 2772 · 2835 · 2970 · 3024 · 3080 · 3240 · 3465 · 3564 · 3696 · 3780 · 3960 · 4158 · 4455 · 4536 · 4620 · 4752 · 5040 · 5544 · 5670 · 5940 · 6160 · 6237 · 6480 · 6930 · 7128 · 7560 · 7920 · 8316 · 8910 · 9072 · 9240 · 10395 · 11088 · 11340 · 11880 · 12474 · 13860 · 14256 · 15120 · 16632 · 17820 · 18480 · 20790 · 22680 · 23760 · 24948 · 27720 · 31185 · 33264 · 35640 · 41580 · 45360 · 49896 · 55440 · 62370 · 71280 · 83160 · 99792 · 124740 · 166320 · 249480 (half) · 498960
Aliquot sum (sum of proper divisors): 1,661,616
Factor pairs (a × b = 498,960)
1 × 498960
2 × 249480
3 × 166320
4 × 124740
5 × 99792
6 × 83160
7 × 71280
8 × 62370
9 × 55440
10 × 49896
11 × 45360
12 × 41580
14 × 35640
15 × 33264
16 × 31185
18 × 27720
20 × 24948
21 × 23760
22 × 22680
24 × 20790
27 × 18480
28 × 17820
30 × 16632
33 × 15120
35 × 14256
36 × 13860
40 × 12474
42 × 11880
44 × 11340
45 × 11088
48 × 10395
54 × 9240
55 × 9072
56 × 8910
60 × 8316
63 × 7920
66 × 7560
70 × 7128
72 × 6930
77 × 6480
80 × 6237
81 × 6160
84 × 5940
88 × 5670
90 × 5544
99 × 5040
105 × 4752
108 × 4620
110 × 4536
112 × 4455
120 × 4158
126 × 3960
132 × 3780
135 × 3696
140 × 3564
144 × 3465
154 × 3240
162 × 3080
165 × 3024
168 × 2970
176 × 2835
180 × 2772
189 × 2640
198 × 2520
210 × 2376
216 × 2310
220 × 2268
231 × 2160
240 × 2079
252 × 1980
264 × 1890
270 × 1848
280 × 1782
297 × 1680
308 × 1620
315 × 1584
324 × 1540
330 × 1512
336 × 1485
360 × 1386
378 × 1320
385 × 1296
396 × 1260
405 × 1232
420 × 1188
432 × 1155
440 × 1134
462 × 1080
495 × 1008
504 × 990
528 × 945
540 × 924
560 × 891
567 × 880
594 × 840
616 × 810
630 × 792
648 × 770
660 × 756
693 × 720
First multiples
498,960 · 997,920 (double) · 1,496,880 · 1,995,840 · 2,494,800 · 2,993,760 · 3,492,720 · 3,991,680 · 4,490,640 · 4,989,600

Sums & aliquot sequence

As consecutive integers: 166,319 + 166,320 + 166,321 99,790 + 99,791 + 99,792 + 99,793 + 99,794 71,277 + 71,278 + … + 71,283 55,436 + 55,437 + … + 55,444
Aliquot sequence: 498,960 1,661,616 3,416,184 6,383,736 10,905,744 17,505,136 19,992,464 19,290,736 18,284,736 30,094,136 26,409,304 23,108,156 17,437,804 14,450,276 11,724,124 8,867,580 15,961,812 — unresolved within range

Continued fraction of √n

√498,960 = [706; (2, 1, 2, 3, 1, 1, 6, 156, 1, 4, 1, 1, 9, 1, 1, 4, 1, 156, 6, 1, 1, 3, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand nine hundred sixty
Ordinal
498960th
Binary
1111001110100010000
Octal
1716420
Hexadecimal
0x79D10
Base64
B50Q
One's complement
4,294,468,335 (32-bit)
Scientific notation
4.9896 × 10⁵
As a duration
498,960 s = 5 days, 18 hours, 36 minutes
In other bases
ternary (3) 221100110000
quaternary (4) 1321310100
quinary (5) 111431320
senary (6) 14410000
septenary (7) 4145460
nonary (9) 840400
undecimal (11) 310970
duodecimal (12) 200900
tridecimal (13) 146157
tetradecimal (14) cdba0
pentadecimal (15) 9cc90

As an angle

498,960° = 1,386 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟηϡξʹ
Chinese
四十九萬八千九百六十
Chinese (financial)
肆拾玖萬捌仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٩٨٩٦٠ Devanagari ४९८९६० Bengali ৪৯৮৯৬০ Tamil ௪௯௮௯௬௦ Thai ๔๙๘๙๖๐ Tibetan ༤༩༨༩༦༠ Khmer ៤៩៨៩៦០ Lao ໔໙໘໙໖໐ Burmese ၄၉၈၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498960, here are decompositions:

  • 13 + 498947 = 498960
  • 23 + 498937 = 498960
  • 29 + 498931 = 498960
  • 37 + 498923 = 498960
  • 53 + 498907 = 498960
  • 79 + 498881 = 498960
  • 101 + 498859 = 498960
  • 103 + 498857 = 498960

Showing the first eight; more decompositions exist.

Hex color
#079D10
RGB(7, 157, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.157.16.

Address
0.7.157.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.157.16

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 498,960 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°.