Live analysis

498,240

498,240 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.).

498,240 (four hundred ninety-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 173. Its proper divisors sum to 1,225,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79A40.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

498,228 498,229 498,230 498,231 498,232 498,233 498,234 498,235 498,236 498,237 498,238 498,239 498,240 498,241 498,242 498,243 498,244 498,245 498,246 498,247 498,248 498,249 498,250 498,251 498,252

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 42,894
Square (n²): 248,243,097,600
Cube (n³): 123,684,640,948,224,000
Divisor count: 84
σ(n) — sum of divisors: 1,723,644
φ(n) — Euler's totient: 132,096
Sum of prime factors: 196

Primality

Prime factorization: 2 ⁶ × 3 ² × 5 × 173

Nearest primes: 498,227 (−13) · 498,257 (+17)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 173 · 180 · 192 · 240 · 288 · 320 · 346 · 360 · 480 · 519 · 576 · 692 · 720 · 865 · 960 · 1038 · 1384 · 1440 · 1557 · 1730 · 2076 · 2595 · 2768 · 2880 · 3114 · 3460 · 4152 · 5190 · 5536 · 6228 · 6920 · 7785 · 8304 · 10380 · 11072 · 12456 · 13840 · 15570 · 16608 · 20760 · 24912 · 27680 · 31140 · 33216 · 41520 · 49824 · 55360 · 62280 · 83040 · 99648 · 124560 · 166080 · 249120 (half) · 498240

Aliquot sum (sum of proper divisors): 1,225,404

Factor pairs (a × b = 498,240)

1 × 498240

2 × 249120

3 × 166080

4 × 124560

5 × 99648

6 × 83040

8 × 62280

9 × 55360

10 × 49824

12 × 41520

15 × 33216

16 × 31140

18 × 27680

20 × 24912

24 × 20760

30 × 16608

32 × 15570

36 × 13840

40 × 12456

45 × 11072

48 × 10380

60 × 8304

64 × 7785

72 × 6920

80 × 6228

90 × 5536

96 × 5190

120 × 4152

144 × 3460

160 × 3114

173 × 2880

180 × 2768

192 × 2595

240 × 2076

288 × 1730

320 × 1557

346 × 1440

360 × 1384

480 × 1038

519 × 960

576 × 865

692 × 720

First multiples

498,240 · 996,480 (double) · 1,494,720 · 1,992,960 · 2,491,200 · 2,989,440 · 3,487,680 · 3,985,920 · 4,484,160 · 4,982,400

Sums & aliquot sequence

As a sum of two squares: 216² + 672² = 408² + 576²

As consecutive integers: 166,079 + 166,080 + 166,081 99,646 + 99,647 + 99,648 + 99,649 + 99,650 55,356 + 55,357 + … + 55,364 33,209 + 33,210 + … + 33,223

Aliquot sequence: 498,240 → 1,225,404 → 1,872,236 → 1,404,184 → 1,228,676 → 921,514 → 586,454 → 484,906 → 242,456 → 212,164 → 191,036 → 146,476 → 133,244 → 99,940 → 121,820 → 134,044 → 124,004 — unresolved within range

Continued fraction of √n

√498,240 = [705; (1, 6, 4, 1, 11, 17, 2, 1, 9, 1, 3, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-eight thousand two hundred forty
Ordinal: 498240th
Binary: 1111001101001000000
Octal: 1715100
Hexadecimal: 0x79A40
Base64: B5pA
One's complement: 4,294,469,055 (32-bit)
Scientific notation: 4.9824 × 10⁵
As a duration: 498,240 s = 5 days, 18 hours, 24 minutes

In other bases

ternary (3) 221022110100

quaternary (4) 1321221000

quinary (5) 111420430

senary (6) 14402400

septenary (7) 4143411

nonary (9) 838410

undecimal (11) 310376

duodecimal (12) 200400

tridecimal (13) 145a22

tetradecimal (14) cd808

pentadecimal (15) 9c960

As an angle

498,240° = 1,384 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υϟησμʹ
Chinese: 四十九萬八千二百四十
Chinese (financial): 肆拾玖萬捌仟貳佰肆拾

In other modern scripts

Eastern Arabic ٤٩٨٢٤٠ Devanagari ४९८२४० Bengali ৪৯৮২৪০ Tamil ௪௯௮௨௪௦ Thai ๔๙๘๒๔๐ Tibetan ༤༩༨༢༤༠ Khmer ៤៩៨២៤០ Lao ໔໙໘໒໔໐ Burmese ၄၉၈၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498240, here are decompositions:

13 + 498227 = 498240
31 + 498209 = 498240
59 + 498181 = 498240
73 + 498167 = 498240
97 + 498143 = 498240
137 + 498103 = 498240
139 + 498101 = 498240
151 + 498089 = 498240

Showing the first eight; more decompositions exist.

Hex color

#079A40

RGB(7, 154, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.154.64.

Address: 0.7.154.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.154.64

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 498,240 and was likely granted around 1893.

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

Look up US498,240 on Google Patents ↗ Look up on USPTO ↗