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474,628

474,628 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.).

474,628 (four hundred seventy-four thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 23 × 67. Its proper divisors sum to 622,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73E04.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Self Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
10,752
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
826,474
Square (n²)
225,271,738,384
Cube (n³)
106,920,274,645,721,152
Divisor count
48
σ(n) — sum of divisors
1,096,704
φ(n) — Euler's totient
174,240
Sum of prime factors
112

Primality

Prime factorization: 2 2 × 7 × 11 × 23 × 67

Nearest primes: 474,619 (−9) · 474,629 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 11 · 14 · 22 · 23 · 28 · 44 · 46 · 67 · 77 · 92 · 134 · 154 · 161 · 253 · 268 · 308 · 322 · 469 · 506 · 644 · 737 · 938 · 1012 · 1474 · 1541 · 1771 · 1876 · 2948 · 3082 · 3542 · 5159 · 6164 · 7084 · 10318 · 10787 · 16951 · 20636 · 21574 · 33902 · 43148 · 67804 · 118657 · 237314 (half) · 474628
Aliquot sum (sum of proper divisors): 622,076
Factor pairs (a × b = 474,628)
1 × 474628
2 × 237314
4 × 118657
7 × 67804
11 × 43148
14 × 33902
22 × 21574
23 × 20636
28 × 16951
44 × 10787
46 × 10318
67 × 7084
77 × 6164
92 × 5159
134 × 3542
154 × 3082
161 × 2948
253 × 1876
268 × 1771
308 × 1541
322 × 1474
469 × 1012
506 × 938
644 × 737
First multiples
474,628 · 949,256 (double) · 1,423,884 · 1,898,512 · 2,373,140 · 2,847,768 · 3,322,396 · 3,797,024 · 4,271,652 · 4,746,280

Sums & aliquot sequence

As consecutive integers: 67,801 + 67,802 + … + 67,807 59,325 + 59,326 + … + 59,332 43,143 + 43,144 + … + 43,153 20,625 + 20,626 + … + 20,647
Aliquot sequence: 474,628 622,076 718,564 849,884 870,436 901,922 712,030 686,354 343,180 377,540 435,580 511,940 758,140 833,996 625,504 718,664 628,846 — unresolved within range

Continued fraction of √n

√474,628 = [688; (1, 13, 1, 4, 2, 4, 2, 1, 1, 16, 2, 2, 1, 1, 2, 2, 196, 2, 2, 1, 1, 2, 2, 16, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand six hundred twenty-eight
Ordinal
474628th
Binary
1110011111000000100
Octal
1637004
Hexadecimal
0x73E04
Base64
Bz4E
One's complement
4,294,492,667 (32-bit)
Scientific notation
4.74628 × 10⁵
As a duration
474,628 s = 5 days, 11 hours, 50 minutes, 28 seconds
In other bases
ternary (3) 220010001211
quaternary (4) 1303320010
quinary (5) 110142003
senary (6) 14101204
septenary (7) 4014520
nonary (9) 803054
undecimal (11) 2a4660
duodecimal (12) 1aa804
tridecimal (13) 13805b
tetradecimal (14) c4d80
pentadecimal (15) 9596d

As an angle

474,628° = 1,318 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδχκηʹ
Chinese
四十七萬四千六百二十八
Chinese (financial)
肆拾柒萬肆仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٤٦٢٨ Devanagari ४७४६२८ Bengali ৪৭৪৬২৮ Tamil ௪௭௪௬௨௮ Thai ๔๗๔๖๒๘ Tibetan ༤༧༤༦༢༨ Khmer ៤៧៤៦២៨ Lao ໔໗໔໖໒໘ Burmese ၄၇၄၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474628, here are decompositions:

  • 47 + 474581 = 474628
  • 59 + 474569 = 474628
  • 71 + 474557 = 474628
  • 131 + 474497 = 474628
  • 137 + 474491 = 474628
  • 149 + 474479 = 474628
  • 191 + 474437 = 474628
  • 239 + 474389 = 474628

Showing the first eight; more decompositions exist.

Hex color
#073E04
RGB(7, 62, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.4.

Address
0.7.62.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.62.4

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 474,628 and was likely granted around 1892.

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°.