number.wiki
Live analysis

496,672

496,672 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.).

496,672 (four hundred ninety-six thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 17 × 83. Its proper divisors sum to 646,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79420.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
18,144
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
276,694
Square (n²)
246,683,075,584
Cube (n³)
122,520,576,516,456,448
Divisor count
48
σ(n) — sum of divisors
1,143,072
φ(n) — Euler's totient
209,920
Sum of prime factors
121

Primality

Prime factorization: 2 5 × 11 × 17 × 83

Nearest primes: 496,669 (−3) · 496,681 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 11 · 16 · 17 · 22 · 32 · 34 · 44 · 68 · 83 · 88 · 136 · 166 · 176 · 187 · 272 · 332 · 352 · 374 · 544 · 664 · 748 · 913 · 1328 · 1411 · 1496 · 1826 · 2656 · 2822 · 2992 · 3652 · 5644 · 5984 · 7304 · 11288 · 14608 · 15521 · 22576 · 29216 · 31042 · 45152 · 62084 · 124168 · 248336 (half) · 496672
Aliquot sum (sum of proper divisors): 646,400
Factor pairs (a × b = 496,672)
1 × 496672
2 × 248336
4 × 124168
8 × 62084
11 × 45152
16 × 31042
17 × 29216
22 × 22576
32 × 15521
34 × 14608
44 × 11288
68 × 7304
83 × 5984
88 × 5644
136 × 3652
166 × 2992
176 × 2822
187 × 2656
272 × 1826
332 × 1496
352 × 1411
374 × 1328
544 × 913
664 × 748
First multiples
496,672 · 993,344 (double) · 1,490,016 · 1,986,688 · 2,483,360 · 2,980,032 · 3,476,704 · 3,973,376 · 4,470,048 · 4,966,720

Sums & aliquot sequence

As consecutive integers: 45,147 + 45,148 + … + 45,157 29,208 + 29,209 + … + 29,224 7,729 + 7,730 + … + 7,792 5,943 + 5,944 + … + 6,025
Aliquot sequence: 496,672 646,400 969,382 484,694 357,706 178,856 161,944 151,976 163,234 96,074 62,728 54,902 28,594 18,440 23,140 29,780 32,800 — unresolved within range

Continued fraction of √n

√496,672 = [704; (1, 2, 1, 155, 1, 6, 5, 17, 4, 1, 5, 10, 1, 1, 43, 1, 1, 10, 5, 1, 4, 17, 5, 6, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-six thousand six hundred seventy-two
Ordinal
496672nd
Binary
1111001010000100000
Octal
1712040
Hexadecimal
0x79420
Base64
B5Qg
One's complement
4,294,470,623 (32-bit)
Scientific notation
4.96672 × 10⁵
As a duration
496,672 s = 5 days, 17 hours, 57 minutes, 52 seconds
In other bases
ternary (3) 221020022021
quaternary (4) 1321100200
quinary (5) 111343142
senary (6) 14351224
septenary (7) 4136011
nonary (9) 836267
undecimal (11) 30a180
duodecimal (12) 1bb514
tridecimal (13) 1450b7
tetradecimal (14) cd008
pentadecimal (15) 9c267

As an angle

496,672° = 1,379 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υϟϛχοβʹ
Chinese
四十九萬六千六百七十二
Chinese (financial)
肆拾玖萬陸仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ٤٩٦٦٧٢ Devanagari ४९६६७२ Bengali ৪৯৬৬৭২ Tamil ௪௯௬௬௭௨ Thai ๔๙๖๖๗๒ Tibetan ༤༩༦༦༧༢ Khmer ៤៩៦៦៧២ Lao ໔໙໖໖໗໒ Burmese ၄၉၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496672, here are decompositions:

  • 3 + 496669 = 496672
  • 41 + 496631 = 496672
  • 89 + 496583 = 496672
  • 173 + 496499 = 496672
  • 179 + 496493 = 496672
  • 191 + 496481 = 496672
  • 233 + 496439 = 496672
  • 359 + 496313 = 496672

Showing the first eight; more decompositions exist.

Hex color
#079420
RGB(7, 148, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.148.32.

Address
0.7.148.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.148.32

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 496,672 and was likely granted around 1893.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.