Live analysis

490,672

490,672 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.).

490,672 (four hundred ninety thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 13 × 337. Its proper divisors sum to 682,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77CB0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

490,660 490,661 490,662 490,663 490,664 490,665 490,666 490,667 490,668 490,669 490,670 490,671 490,672 490,673 490,674 490,675 490,676 490,677 490,678 490,679 490,680 490,681 490,682 490,683 490,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 276,094
Square (n²): 240,759,011,584
Cube (n³): 118,133,705,731,944,448
Divisor count: 40
σ(n) — sum of divisors: 1,173,536
φ(n) — Euler's totient: 193,536
Sum of prime factors: 365

Primality

Prime factorization: 2 ⁴ × 7 × 13 × 337

Nearest primes: 490,663 (−9) · 490,697 (+25)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 52 · 56 · 91 · 104 · 112 · 182 · 208 · 337 · 364 · 674 · 728 · 1348 · 1456 · 2359 · 2696 · 4381 · 4718 · 5392 · 8762 · 9436 · 17524 · 18872 · 30667 · 35048 · 37744 · 61334 · 70096 · 122668 · 245336 (half) · 490672

Aliquot sum (sum of proper divisors): 682,864

Factor pairs (a × b = 490,672)

1 × 490672

2 × 245336

4 × 122668

7 × 70096

8 × 61334

13 × 37744

14 × 35048

16 × 30667

26 × 18872

28 × 17524

52 × 9436

56 × 8762

91 × 5392

104 × 4718

112 × 4381

182 × 2696

208 × 2359

337 × 1456

364 × 1348

674 × 728

First multiples

490,672 · 981,344 (double) · 1,472,016 · 1,962,688 · 2,453,360 · 2,944,032 · 3,434,704 · 3,925,376 · 4,416,048 · 4,906,720

Sums & aliquot sequence

As consecutive integers: 70,093 + 70,094 + … + 70,099 37,738 + 37,739 + … + 37,750 15,318 + 15,319 + … + 15,349 5,347 + 5,348 + … + 5,437

Aliquot sequence: 490,672 → 682,864 → 999,320 → 1,661,800 → 2,757,560 → 3,925,480 → 5,587,520 → 8,433,280 → 11,729,060 → 16,629,340 → 26,355,812 → 29,769,628 → 29,769,684 → 49,616,364 → 83,932,436 → 83,932,492 → 86,930,480 — unresolved within range

Continued fraction of √n

√490,672 = [700; (2, 11, 1, 8, 1, 4, 4, 3, 3, 16, 1, 154, 1, 2, 1, 1, 3, 87, 3, 1, 1, 2, 1, 154, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: four hundred ninety thousand six hundred seventy-two
Ordinal: 490672nd
Binary: 1110111110010110000
Octal: 1676260
Hexadecimal: 0x77CB0
Base64: B3yw
One's complement: 4,294,476,623 (32-bit)
Scientific notation: 4.90672 × 10⁵
As a duration: 490,672 s = 5 days, 16 hours, 17 minutes, 52 seconds

In other bases

ternary (3) 220221002001

quaternary (4) 1313302300

quinary (5) 111200142

senary (6) 14303344

septenary (7) 4112350

nonary (9) 827061

undecimal (11) 305716

duodecimal (12) 1b7b54

tridecimal (13) 142450

tetradecimal (14) cab60

pentadecimal (15) 9a5b7

As an angle

490,672° = 1,362 × 360° + 352°

352° ≈ 6.144 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υϟχοβʹ
Chinese: 四十九萬零六百七十二
Chinese (financial): 肆拾玖萬零陸佰柒拾貳

In other modern scripts

Eastern Arabic ٤٩٠٦٧٢ Devanagari ४९०६७२ Bengali ৪৯০৬৭২ Tamil ௪௯௦௬௭௨ Thai ๔๙๐๖๗๒ Tibetan ༤༩༠༦༧༢ Khmer ៤៩០៦៧២ Lao ໔໙໐໖໗໒ Burmese ၄၉၀၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490672, here are decompositions:

11 + 490661 = 490672
29 + 490643 = 490672
41 + 490631 = 490672
53 + 490619 = 490672
101 + 490571 = 490672
113 + 490559 = 490672
131 + 490541 = 490672
173 + 490499 = 490672

Showing the first eight; more decompositions exist.

Hex color

#077CB0

RGB(7, 124, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.176.

Address: 0.7.124.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.124.176

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 490,672 and was likely granted around 1892.

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

Look up US490,672 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 490672 first appears in π at position 656,312 of the decimal expansion (the 656,312ordinal-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.

Look up 490672 on Pi Search ↗