Live analysis

550,400

550,400 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.).

550,400 (five hundred fifty thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁹ × 5² × 43. Its proper divisors sum to 844,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86600.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

550,388 550,389 550,390 550,391 550,392 550,393 550,394 550,395 550,396 550,397 550,398 550,399 550,400 550,401 550,402 550,403 550,404 550,405 550,406 550,407 550,408 550,409 550,410 550,411 550,412

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,055
Square (n²): 302,940,160,000
Cube (n³): 166,738,264,064,000,000
Divisor count: 60
σ(n) — sum of divisors: 1,395,372
φ(n) — Euler's totient: 215,040
Sum of prime factors: 71

Primality

Prime factorization: 2 ⁹ × 5 ² × 43

Nearest primes: 550,379 (−21) · 550,427 (+27)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 43 · 50 · 64 · 80 · 86 · 100 · 128 · 160 · 172 · 200 · 215 · 256 · 320 · 344 · 400 · 430 · 512 · 640 · 688 · 800 · 860 · 1075 · 1280 · 1376 · 1600 · 1720 · 2150 · 2560 · 2752 · 3200 · 3440 · 4300 · 5504 · 6400 · 6880 · 8600 · 11008 · 12800 · 13760 · 17200 · 22016 · 27520 · 34400 · 55040 · 68800 · 110080 · 137600 · 275200 (half) · 550400

Aliquot sum (sum of proper divisors): 844,972

Factor pairs (a × b = 550,400)

1 × 550400

2 × 275200

4 × 137600

5 × 110080

8 × 68800

10 × 55040

16 × 34400

20 × 27520

25 × 22016

32 × 17200

40 × 13760

43 × 12800

50 × 11008

64 × 8600

80 × 6880

86 × 6400

100 × 5504

128 × 4300

160 × 3440

172 × 3200

200 × 2752

215 × 2560

256 × 2150

320 × 1720

344 × 1600

400 × 1376

430 × 1280

512 × 1075

640 × 860

688 × 800

First multiples

550,400 · 1,100,800 (double) · 1,651,200 · 2,201,600 · 2,752,000 · 3,302,400 · 3,852,800 · 4,403,200 · 4,953,600 · 5,504,000

Sums & aliquot sequence

As consecutive integers: 110,078 + 110,079 + 110,080 + 110,081 + 110,082 22,004 + 22,005 + … + 22,028 12,779 + 12,780 + … + 12,821 2,453 + 2,454 + … + 2,667

Aliquot sequence: 550,400 → 844,972 → 658,404 → 1,005,986 → 522,334 → 261,170 → 342,118 → 255,014 → 127,510 → 108,362 → 54,184 → 55,436 → 41,584 → 43,232 → 54,544 → 66,480 → 140,352 — unresolved within range

Continued fraction of √n

√550,400 = [741; (1, 8, 20, 1, 3, 1, 2, 3, 7, 2, 8, 92, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 12, 5, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: five hundred fifty thousand four hundred
Ordinal: 550400th
Binary: 10000110011000000000
Octal: 2063000
Hexadecimal: 0x86600
Base64: CGYA
One's complement: 4,294,416,895 (32-bit)
Scientific notation: 5.504 × 10⁵
As a duration: 550,400 s = 6 days, 8 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1000222000012

quaternary (4) 2012120000

quinary (5) 120103100

senary (6) 15444052

septenary (7) 4451444

nonary (9) 1028005

undecimal (11) 346584

duodecimal (12) 226628

tridecimal (13) 1636a6

tetradecimal (14) 104824

pentadecimal (15) ad135

As an angle

550,400° = 1,528 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵φνυʹ
Chinese: 五十五萬零四百
Chinese (financial): 伍拾伍萬零肆佰

In other modern scripts

Eastern Arabic ٥٥٠٤٠٠ Devanagari ५५०४०० Bengali ৫৫০৪০০ Tamil ௫௫௦௪௦௦ Thai ๕๕๐๔๐๐ Tibetan ༥༥༠༤༠༠ Khmer ៥៥០៤០០ Lao ໕໕໐໔໐໐ Burmese ၅၅၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 550400, here are decompositions:

31 + 550369 = 550400
211 + 550189 = 550400
223 + 550177 = 550400
271 + 550129 = 550400
283 + 550117 = 550400
337 + 550063 = 550400
373 + 550027 = 550400
421 + 549979 = 550400

Showing the first eight; more decompositions exist.

Hex color

#086600

RGB(8, 102, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.102.0.

Address: 0.8.102.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.8.102.0

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 550,400 and was likely granted around 1895.

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

Look up US550,400 on Google Patents ↗ Look up on USPTO ↗