number.wiki
Live analysis

472,940

472,940 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.).

472,940 (four hundred seventy-two thousand nine hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 17 × 107. Its proper divisors sum to 670,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7376C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
49,274
Square (n²)
223,672,243,600
Cube (n³)
105,783,550,888,184,000
Divisor count
48
σ(n) — sum of divisors
1,143,072
φ(n) — Euler's totient
162,816
Sum of prime factors
146

Primality

Prime factorization: 2 2 × 5 × 13 × 17 × 107

Nearest primes: 472,939 (−1) · 472,963 (+23)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 13 · 17 · 20 · 26 · 34 · 52 · 65 · 68 · 85 · 107 · 130 · 170 · 214 · 221 · 260 · 340 · 428 · 442 · 535 · 884 · 1070 · 1105 · 1391 · 1819 · 2140 · 2210 · 2782 · 3638 · 4420 · 5564 · 6955 · 7276 · 9095 · 13910 · 18190 · 23647 · 27820 · 36380 · 47294 · 94588 · 118235 · 236470 (half) · 472940
Aliquot sum (sum of proper divisors): 670,132
Factor pairs (a × b = 472,940)
1 × 472940
2 × 236470
4 × 118235
5 × 94588
10 × 47294
13 × 36380
17 × 27820
20 × 23647
26 × 18190
34 × 13910
52 × 9095
65 × 7276
68 × 6955
85 × 5564
107 × 4420
130 × 3638
170 × 2782
214 × 2210
221 × 2140
260 × 1819
340 × 1391
428 × 1105
442 × 1070
535 × 884
First multiples
472,940 · 945,880 (double) · 1,418,820 · 1,891,760 · 2,364,700 · 2,837,640 · 3,310,580 · 3,783,520 · 4,256,460 · 4,729,400

Sums & aliquot sequence

As consecutive integers: 94,586 + 94,587 + 94,588 + 94,589 + 94,590 59,114 + 59,115 + … + 59,121 36,374 + 36,375 + … + 36,386 27,812 + 27,813 + … + 27,828
Aliquot sequence: 472,940 670,132 577,268 438,544 411,166 311,138 155,572 146,828 143,476 107,614 66,266 39,034 21,626 13,798 6,902 6,058 3,770 — unresolved within range

Continued fraction of √n

√472,940 = [687; (1, 2, 2, 2, 7, 3, 1, 2, 12, 1, 6, 3, 1, 1, 1, 1, 1, 12, 1, 342, 1, 12, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand nine hundred forty
Ordinal
472940th
Binary
1110011011101101100
Octal
1633554
Hexadecimal
0x7376C
Base64
Bzds
One's complement
4,294,494,355 (32-bit)
Scientific notation
4.7294 × 10⁵
As a duration
472,940 s = 5 days, 11 hours, 22 minutes, 20 seconds
In other bases
ternary (3) 220000202022
quaternary (4) 1303131230
quinary (5) 110113230
senary (6) 14045312
septenary (7) 4006556
nonary (9) 800668
undecimal (11) 2a3366
duodecimal (12) 1a9838
tridecimal (13) 137360
tetradecimal (14) c44d6
pentadecimal (15) 951e5

As an angle

472,940° = 1,313 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοβϡμʹ
Chinese
四十七萬二千九百四十
Chinese (financial)
肆拾柒萬貳仟玖佰肆拾
In other modern scripts
Eastern Arabic ٤٧٢٩٤٠ Devanagari ४७२९४० Bengali ৪৭২৯৪০ Tamil ௪௭௨௯௪௦ Thai ๔๗๒๙๔๐ Tibetan ༤༧༢༩༤༠ Khmer ៤៧២៩៤០ Lao ໔໗໒໙໔໐ Burmese ၄၇၂၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472940, here are decompositions:

  • 3 + 472937 = 472940
  • 19 + 472921 = 472940
  • 31 + 472909 = 472940
  • 103 + 472837 = 472940
  • 109 + 472831 = 472940
  • 199 + 472741 = 472940
  • 229 + 472711 = 472940
  • 271 + 472669 = 472940

Showing the first eight; more decompositions exist.

Hex color
#07376C
RGB(7, 55, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.108.

Address
0.7.55.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.108

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 472,940 and was likely granted around 1891.

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°.