Live analysis

493,040

493,040 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.).

493,040 (four hundred ninety-three thousand forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 6,163. Its proper divisors sum to 653,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x785F0.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

493,028 493,029 493,030 493,031 493,032 493,033 493,034 493,035 493,036 493,037 493,038 493,039 493,040 493,041 493,042 493,043 493,044 493,045 493,046 493,047 493,048 493,049 493,050 493,051 493,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 40,394
Square (n²): 243,088,441,600
Cube (n³): 119,852,325,246,464,000
Divisor count: 20
σ(n) — sum of divisors: 1,146,504
φ(n) — Euler's totient: 197,184
Sum of prime factors: 6,176

Primality

Prime factorization: 2 ⁴ × 5 × 6163

Nearest primes: 493,027 (−13) · 493,043 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 6163 · 12326 · 24652 · 30815 · 49304 · 61630 · 98608 · 123260 · 246520 (half) · 493040

Aliquot sum (sum of proper divisors): 653,464

Factor pairs (a × b = 493,040)

1 × 493040

2 × 246520

4 × 123260

5 × 98608

8 × 61630

10 × 49304

16 × 30815

20 × 24652

40 × 12326

80 × 6163

First multiples

493,040 · 986,080 (double) · 1,479,120 · 1,972,160 · 2,465,200 · 2,958,240 · 3,451,280 · 3,944,320 · 4,437,360 · 4,930,400

Sums & aliquot sequence

As a sum of two cubes: 1³ + 79³

As consecutive integers: 98,606 + 98,607 + 98,608 + 98,609 + 98,610 15,392 + 15,393 + … + 15,423 3,002 + 3,003 + … + 3,161

Aliquot sequence: 493,040 → 653,464 → 772,676 → 626,344 → 568,856 → 505,984 → 534,416 → 513,136 → 557,976 → 861,864 → 1,292,856 → 1,976,904 → 3,377,406 → 3,377,418 → 4,103,094 → 4,386,426 → 5,423,430 — unresolved within range

Continued fraction of √n

√493,040 = [702; (5, 1, 18, 1, 17, 1, 1, 8, 3, 1, 3, 1, 6, 3, 1, 2, 1, 7, 1, 86, 1, 7, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety-three thousand forty
Ordinal: 493040th
Binary: 1111000010111110000
Octal: 1702760
Hexadecimal: 0x785F0
Base64: B4Xw
One's complement: 4,294,474,255 (32-bit)
Scientific notation: 4.9304 × 10⁵
As a duration: 493,040 s = 5 days, 16 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 221001022202

quaternary (4) 1320113300

quinary (5) 111234130

senary (6) 14322332

septenary (7) 4122302

nonary (9) 831282

undecimal (11) 307479

duodecimal (12) 1b93a8

tridecimal (13) 143552

tetradecimal (14) cb972

pentadecimal (15) 9b145

As an angle

493,040° = 1,369 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υϟγμʹ
Chinese: 四十九萬三千零四十
Chinese (financial): 肆拾玖萬參仟零肆拾

In other modern scripts

Eastern Arabic ٤٩٣٠٤٠ Devanagari ४९३०४० Bengali ৪৯৩০৪০ Tamil ௪௯௩௦௪௦ Thai ๔๙๓๐๔๐ Tibetan ༤༩༣༠༤༠ Khmer ៤៩៣០៤០ Lao ໔໙໓໐໔໐ Burmese ၄၉၃၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 493040, here are decompositions:

13 + 493027 = 493040
19 + 493021 = 493040
61 + 492979 = 493040
73 + 492967 = 493040
139 + 492901 = 493040
157 + 492883 = 493040
241 + 492799 = 493040
271 + 492769 = 493040

Showing the first eight; more decompositions exist.

Hex color

#0785F0

RGB(7, 133, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.133.240.

Address: 0.7.133.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.133.240

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 493,040 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 US493,040 on Google Patents ↗ Look up on USPTO ↗