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498,168

498,168 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.).

498,168 (four hundred ninety-eight thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 11 × 17 × 37. Its proper divisors sum to 1,102,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x799F8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
13,824
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
861,894
Square (n²)
248,171,356,224
Cube (n³)
123,631,028,187,397,632
Divisor count
96
σ(n) — sum of divisors
1,600,560
φ(n) — Euler's totient
138,240
Sum of prime factors
77

Primality

Prime factorization: 2 3 × 3 2 × 11 × 17 × 37

Nearest primes: 498,167 (−1) · 498,181 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 17 · 18 · 22 · 24 · 33 · 34 · 36 · 37 · 44 · 51 · 66 · 68 · 72 · 74 · 88 · 99 · 102 · 111 · 132 · 136 · 148 · 153 · 187 · 198 · 204 · 222 · 264 · 296 · 306 · 333 · 374 · 396 · 407 · 408 · 444 · 561 · 612 · 629 · 666 · 748 · 792 · 814 · 888 · 1122 · 1221 · 1224 · 1258 · 1332 · 1496 · 1628 · 1683 · 1887 · 2244 · 2442 · 2516 · 2664 · 3256 · 3366 · 3663 · 3774 · 4488 · 4884 · 5032 · 5661 · 6732 · 6919 · 7326 · 7548 · 9768 · 11322 · 13464 · 13838 · 14652 · 15096 · 20757 · 22644 · 27676 · 29304 · 41514 · 45288 · 55352 · 62271 · 83028 · 124542 · 166056 · 249084 (half) · 498168
Aliquot sum (sum of proper divisors): 1,102,392
Factor pairs (a × b = 498,168)
1 × 498168
2 × 249084
3 × 166056
4 × 124542
6 × 83028
8 × 62271
9 × 55352
11 × 45288
12 × 41514
17 × 29304
18 × 27676
22 × 22644
24 × 20757
33 × 15096
34 × 14652
36 × 13838
37 × 13464
44 × 11322
51 × 9768
66 × 7548
68 × 7326
72 × 6919
74 × 6732
88 × 5661
99 × 5032
102 × 4884
111 × 4488
132 × 3774
136 × 3663
148 × 3366
153 × 3256
187 × 2664
198 × 2516
204 × 2442
222 × 2244
264 × 1887
296 × 1683
306 × 1628
333 × 1496
374 × 1332
396 × 1258
407 × 1224
408 × 1221
444 × 1122
561 × 888
612 × 814
629 × 792
666 × 748
First multiples
498,168 · 996,336 (double) · 1,494,504 · 1,992,672 · 2,490,840 · 2,989,008 · 3,487,176 · 3,985,344 · 4,483,512 · 4,981,680

Sums & aliquot sequence

As consecutive integers: 166,055 + 166,056 + 166,057 55,348 + 55,349 + … + 55,356 45,283 + 45,284 + … + 45,293 31,128 + 31,129 + … + 31,143
Aliquot sequence: 498,168 1,102,392 1,944,288 3,749,400 8,848,380 16,220,580 29,197,212 50,152,548 66,870,092 50,152,576 49,761,014 27,288,394 20,447,606 11,052,874 7,894,934 4,462,426 2,245,094 — unresolved within range

Continued fraction of √n

√498,168 = [705; (1, 4, 3, 1, 2, 1, 2, 1, 2, 1, 3, 4, 1, 1410)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand one hundred sixty-eight
Ordinal
498168th
Binary
1111001100111111000
Octal
1714770
Hexadecimal
0x799F8
Base64
B5n4
One's complement
4,294,469,127 (32-bit)
Scientific notation
4.98168 × 10⁵
As a duration
498,168 s = 5 days, 18 hours, 22 minutes, 48 seconds
In other bases
ternary (3) 221022100200
quaternary (4) 1321213320
quinary (5) 111420133
senary (6) 14402200
septenary (7) 4143246
nonary (9) 838320
undecimal (11) 310310
duodecimal (12) 200360
tridecimal (13) 145998
tetradecimal (14) cd796
pentadecimal (15) 9c913

As an angle

498,168° = 1,383 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟηρξηʹ
Chinese
四十九萬八千一百六十八
Chinese (financial)
肆拾玖萬捌仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ٤٩٨١٦٨ Devanagari ४९८१६८ Bengali ৪৯৮১৬৮ Tamil ௪௯௮௧௬௮ Thai ๔๙๘๑๖๘ Tibetan ༤༩༨༡༦༨ Khmer ៤៩៨១៦៨ Lao ໔໙໘໑໖໘ Burmese ၄၉၈၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498168, here are decompositions:

  • 5 + 498163 = 498168
  • 67 + 498101 = 498168
  • 79 + 498089 = 498168
  • 107 + 498061 = 498168
  • 179 + 497989 = 498168
  • 191 + 497977 = 498168
  • 199 + 497969 = 498168
  • 211 + 497957 = 498168

Showing the first eight; more decompositions exist.

Hex color
#0799F8
RGB(7, 153, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.153.248.

Address
0.7.153.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.153.248

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 498,168 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 498168 first appears in π at position 130,475 of the decimal expansion (the 130,475ordinal-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°.