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473,928

473,928 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.).

473,928 (four hundred seventy-three thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 7² × 13 × 31. Its proper divisors sum to 1,058,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B48.

Abundant Number Arithmetic Number Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
12,096
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
829,374
Square (n²)
224,607,749,184
Cube (n³)
106,447,901,355,274,752
Divisor count
96
σ(n) — sum of divisors
1,532,160
φ(n) — Euler's totient
120,960
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 × 7 2 × 13 × 31

Nearest primes: 473,927 (−1) · 473,929 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 21 · 24 · 26 · 28 · 31 · 39 · 42 · 49 · 52 · 56 · 62 · 78 · 84 · 91 · 93 · 98 · 104 · 124 · 147 · 156 · 168 · 182 · 186 · 196 · 217 · 248 · 273 · 294 · 312 · 364 · 372 · 392 · 403 · 434 · 546 · 588 · 637 · 651 · 728 · 744 · 806 · 868 · 1092 · 1176 · 1209 · 1274 · 1302 · 1519 · 1612 · 1736 · 1911 · 2184 · 2418 · 2548 · 2604 · 2821 · 3038 · 3224 · 3822 · 4557 · 4836 · 5096 · 5208 · 5642 · 6076 · 7644 · 8463 · 9114 · 9672 · 11284 · 12152 · 15288 · 16926 · 18228 · 19747 · 22568 · 33852 · 36456 · 39494 · 59241 · 67704 · 78988 · 118482 · 157976 · 236964 (half) · 473928
Aliquot sum (sum of proper divisors): 1,058,232
Factor pairs (a × b = 473,928)
1 × 473928
2 × 236964
3 × 157976
4 × 118482
6 × 78988
7 × 67704
8 × 59241
12 × 39494
13 × 36456
14 × 33852
21 × 22568
24 × 19747
26 × 18228
28 × 16926
31 × 15288
39 × 12152
42 × 11284
49 × 9672
52 × 9114
56 × 8463
62 × 7644
78 × 6076
84 × 5642
91 × 5208
93 × 5096
98 × 4836
104 × 4557
124 × 3822
147 × 3224
156 × 3038
168 × 2821
182 × 2604
186 × 2548
196 × 2418
217 × 2184
248 × 1911
273 × 1736
294 × 1612
312 × 1519
364 × 1302
372 × 1274
392 × 1209
403 × 1176
434 × 1092
546 × 868
588 × 806
637 × 744
651 × 728
First multiples
473,928 · 947,856 (double) · 1,421,784 · 1,895,712 · 2,369,640 · 2,843,568 · 3,317,496 · 3,791,424 · 4,265,352 · 4,739,280

Sums & aliquot sequence

As consecutive integers: 157,975 + 157,976 + 157,977 67,701 + 67,702 + … + 67,707 36,450 + 36,451 + … + 36,462 29,613 + 29,614 + … + 29,628
Aliquot sequence: 473,928 1,058,232 1,965,768 3,651,192 7,440,408 13,591,512 26,874,108 41,057,756 31,001,644 23,311,524 31,082,060 34,190,308 25,685,144 22,474,516 17,522,924 13,200,076 9,900,064 — unresolved within range

Continued fraction of √n

√473,928 = [688; (2, 2, 1, 4, 20, 28, 20, 4, 1, 2, 2, 1376)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand nine hundred twenty-eight
Ordinal
473928th
Binary
1110011101101001000
Octal
1635510
Hexadecimal
0x73B48
Base64
BztI
One's complement
4,294,493,367 (32-bit)
Scientific notation
4.73928 × 10⁵
As a duration
473,928 s = 5 days, 11 hours, 38 minutes, 48 seconds
In other bases
ternary (3) 220002002220
quaternary (4) 1303231020
quinary (5) 110131203
senary (6) 14054040
septenary (7) 4012500
nonary (9) 802086
undecimal (11) 2a4084
duodecimal (12) 1aa320
tridecimal (13) 137940
tetradecimal (14) c4a00
pentadecimal (15) 95653

As an angle

473,928° = 1,316 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογϡκηʹ
Chinese
四十七萬三千九百二十八
Chinese (financial)
肆拾柒萬參仟玖佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٣٩٢٨ Devanagari ४७३९२८ Bengali ৪৭৩৯২৮ Tamil ௪௭௩௯௨௮ Thai ๔๗๓๙๒๘ Tibetan ༤༧༣༩༢༨ Khmer ៤៧៣៩២៨ Lao ໔໗໓໙໒໘ Burmese ၄၇၃၉၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473928, here are decompositions:

  • 5 + 473923 = 473928
  • 17 + 473911 = 473928
  • 29 + 473899 = 473928
  • 41 + 473887 = 473928
  • 61 + 473867 = 473928
  • 67 + 473861 = 473928
  • 71 + 473857 = 473928
  • 89 + 473839 = 473928

Showing the first eight; more decompositions exist.

Hex color
#073B48
RGB(7, 59, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.72.

Address
0.7.59.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.72

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 473,928 and was likely granted around 1892.

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

Position in π

The digit sequence 473928 first appears in π at position 816,029 of the decimal expansion (the 816,029ordinal-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.

Related reading

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