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470,028

470,028 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.).

470,028 (four hundred seventy thousand twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 13 × 23 × 131. Its proper divisors sum to 771,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C0C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
820,074
Square (n²)
220,926,320,784
Cube (n³)
103,841,556,705,461,952
Divisor count
48
σ(n) — sum of divisors
1,241,856
φ(n) — Euler's totient
137,280
Sum of prime factors
174

Primality

Prime factorization: 2 2 × 3 × 13 × 23 × 131

Nearest primes: 470,021 (−7) · 470,039 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 23 · 26 · 39 · 46 · 52 · 69 · 78 · 92 · 131 · 138 · 156 · 262 · 276 · 299 · 393 · 524 · 598 · 786 · 897 · 1196 · 1572 · 1703 · 1794 · 3013 · 3406 · 3588 · 5109 · 6026 · 6812 · 9039 · 10218 · 12052 · 18078 · 20436 · 36156 · 39169 · 78338 · 117507 · 156676 · 235014 (half) · 470028
Aliquot sum (sum of proper divisors): 771,828
Factor pairs (a × b = 470,028)
1 × 470028
2 × 235014
3 × 156676
4 × 117507
6 × 78338
12 × 39169
13 × 36156
23 × 20436
26 × 18078
39 × 12052
46 × 10218
52 × 9039
69 × 6812
78 × 6026
92 × 5109
131 × 3588
138 × 3406
156 × 3013
262 × 1794
276 × 1703
299 × 1572
393 × 1196
524 × 897
598 × 786
First multiples
470,028 · 940,056 (double) · 1,410,084 · 1,880,112 · 2,350,140 · 2,820,168 · 3,290,196 · 3,760,224 · 4,230,252 · 4,700,280

Sums & aliquot sequence

As consecutive integers: 156,675 + 156,676 + 156,677 58,750 + 58,751 + … + 58,757 36,150 + 36,151 + … + 36,162 20,425 + 20,426 + … + 20,447
Aliquot sequence: 470,028 771,828 1,029,132 1,848,148 1,411,724 1,058,800 1,485,928 1,314,332 993,988 786,252 1,048,364 799,636 599,734 304,514 217,534 123,026 63,274 — unresolved within range

Continued fraction of √n

√470,028 = [685; (1, 1, 2, 2, 2, 3, 4, 3, 2, 2, 2, 1, 1, 1370)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand twenty-eight
Ordinal
470028th
Binary
1110010110000001100
Octal
1626014
Hexadecimal
0x72C0C
Base64
BywM
One's complement
4,294,497,267 (32-bit)
Scientific notation
4.70028 × 10⁵
As a duration
470,028 s = 5 days, 10 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 212212202110
quaternary (4) 1302300030
quinary (5) 110020103
senary (6) 14024020
septenary (7) 3665226
nonary (9) 785673
undecimal (11) 2a1159
duodecimal (12) 1a8010
tridecimal (13) 135c30
tetradecimal (14) c3416
pentadecimal (15) 94403

As an angle

470,028° = 1,305 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοκηʹ
Chinese
四十七萬零二十八
Chinese (financial)
肆拾柒萬零貳拾捌
In other modern scripts
Eastern Arabic ٤٧٠٠٢٨ Devanagari ४७००२८ Bengali ৪৭০০২৮ Tamil ௪௭௦௦௨௮ Thai ๔๗๐๐๒๘ Tibetan ༤༧༠༠༢༨ Khmer ៤៧០០២៨ Lao ໔໗໐໐໒໘ Burmese ၄၇၀၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470028, here are decompositions:

  • 7 + 470021 = 470028
  • 59 + 469969 = 470028
  • 71 + 469957 = 470028
  • 89 + 469939 = 470028
  • 109 + 469919 = 470028
  • 137 + 469891 = 470028
  • 149 + 469879 = 470028
  • 151 + 469877 = 470028

Showing the first eight; more decompositions exist.

Hex color
#072C0C
RGB(7, 44, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.12.

Address
0.7.44.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.12

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 470,028 and was likely granted around 1891.

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

Position in π

The digit sequence 470028 first appears in π at position 59,048 of the decimal expansion (the 59,048ordinal-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°.