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472,464

472,464 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.).

472,464 (four hundred seventy-two thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 17 × 193. Its proper divisors sum to 934,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73590.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
5,376
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
464,274
Square (n²)
223,222,231,296
Cube (n³)
105,464,468,287,033,344
Divisor count
60
σ(n) — sum of divisors
1,407,276
φ(n) — Euler's totient
147,456
Sum of prime factors
224

Primality

Prime factorization: 2 4 × 3 2 × 17 × 193

Nearest primes: 472,457 (−7) · 472,469 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 34 · 36 · 48 · 51 · 68 · 72 · 102 · 136 · 144 · 153 · 193 · 204 · 272 · 306 · 386 · 408 · 579 · 612 · 772 · 816 · 1158 · 1224 · 1544 · 1737 · 2316 · 2448 · 3088 · 3281 · 3474 · 4632 · 6562 · 6948 · 9264 · 9843 · 13124 · 13896 · 19686 · 26248 · 27792 · 29529 · 39372 · 52496 · 59058 · 78744 · 118116 · 157488 · 236232 (half) · 472464
Aliquot sum (sum of proper divisors): 934,812
Factor pairs (a × b = 472,464)
1 × 472464
2 × 236232
3 × 157488
4 × 118116
6 × 78744
8 × 59058
9 × 52496
12 × 39372
16 × 29529
17 × 27792
18 × 26248
24 × 19686
34 × 13896
36 × 13124
48 × 9843
51 × 9264
68 × 6948
72 × 6562
102 × 4632
136 × 3474
144 × 3281
153 × 3088
193 × 2448
204 × 2316
272 × 1737
306 × 1544
386 × 1224
408 × 1158
579 × 816
612 × 772
First multiples
472,464 · 944,928 (double) · 1,417,392 · 1,889,856 · 2,362,320 · 2,834,784 · 3,307,248 · 3,779,712 · 4,252,176 · 4,724,640

Sums & aliquot sequence

As a sum of two squares: 192² + 660² = 480² + 492²
As consecutive integers: 157,487 + 157,488 + 157,489 52,492 + 52,493 + … + 52,500 27,784 + 27,785 + … + 27,800 14,749 + 14,750 + … + 14,780
Aliquot sequence: 472,464 934,812 1,533,108 2,065,452 3,008,148 5,242,668 6,990,252 11,933,268 17,460,012 25,424,788 19,145,472 32,535,024 51,513,912 89,588,088 153,046,512 305,696,448 622,099,512 — unresolved within range

Continued fraction of √n

√472,464 = [687; (2, 1, 3, 2, 9, 9, 2, 1, 2, 152, 2, 1, 2, 9, 9, 2, 3, 1, 2, 1374)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand four hundred sixty-four
Ordinal
472464th
Binary
1110011010110010000
Octal
1632620
Hexadecimal
0x73590
Base64
BzWQ
One's complement
4,294,494,831 (32-bit)
Scientific notation
4.72464 × 10⁵
As a duration
472,464 s = 5 days, 11 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 220000002200
quaternary (4) 1303112100
quinary (5) 110104324
senary (6) 14043200
septenary (7) 4005306
nonary (9) 800080
undecimal (11) 2a2a73
duodecimal (12) 1a9500
tridecimal (13) 137085
tetradecimal (14) c4276
pentadecimal (15) 94ec9

As an angle

472,464° = 1,312 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβυξδʹ
Chinese
四十七萬二千四百六十四
Chinese (financial)
肆拾柒萬貳仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٤٧٢٤٦٤ Devanagari ४७२४६४ Bengali ৪৭২৪৬৪ Tamil ௪௭௨௪௬௪ Thai ๔๗๒๔๖๔ Tibetan ༤༧༢༤༦༤ Khmer ៤៧២៤៦៤ Lao ໔໗໒໔໖໔ Burmese ၄၇၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472464, here are decompositions:

  • 7 + 472457 = 472464
  • 43 + 472421 = 472464
  • 53 + 472411 = 472464
  • 71 + 472393 = 472464
  • 73 + 472391 = 472464
  • 131 + 472333 = 472464
  • 163 + 472301 = 472464
  • 191 + 472273 = 472464

Showing the first eight; more decompositions exist.

Hex color
#073590
RGB(7, 53, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.144.

Address
0.7.53.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.144

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 472,464 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°.