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478,742

478,742 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.).

478,742 (four hundred seventy-eight thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 47 × 463. Written other ways, in hexadecimal, 0x74E16.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
12,544
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
247,874
Square (n²)
229,193,902,564
Cube (n³)
109,724,747,301,294,488
Divisor count
16
σ(n) — sum of divisors
801,792
φ(n) — Euler's totient
212,520
Sum of prime factors
523

Primality

Prime factorization: 2 × 11 × 47 × 463

Nearest primes: 478,741 (−1) · 478,747 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 47 · 94 · 463 · 517 · 926 · 1034 · 5093 · 10186 · 21761 · 43522 · 239371 (half) · 478742
Aliquot sum (sum of proper divisors): 323,050
Factor pairs (a × b = 478,742)
1 × 478742
2 × 239371
11 × 43522
22 × 21761
47 × 10186
94 × 5093
463 × 1034
517 × 926
First multiples
478,742 · 957,484 (double) · 1,436,226 · 1,914,968 · 2,393,710 · 2,872,452 · 3,351,194 · 3,829,936 · 4,308,678 · 4,787,420

Sums & aliquot sequence

As consecutive integers: 119,684 + 119,685 + 119,686 + 119,687 43,517 + 43,518 + … + 43,527 10,859 + 10,860 + … + 10,902 10,163 + 10,164 + … + 10,209
Aliquot sequence: 478,742 323,050 426,902 304,954 202,574 101,290 107,222 53,614 34,154 17,080 27,560 40,480 68,384 66,310 59,690 50,902 28,010 — unresolved within range

Continued fraction of √n

√478,742 = [691; (1, 10, 2, 1, 10, 4, 1, 1, 4, 2, 62, 2, 4, 1, 1, 4, 10, 1, 2, 10, 1, 1382)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-eight thousand seven hundred forty-two
Ordinal
478742nd
Binary
1110100111000010110
Octal
1647026
Hexadecimal
0x74E16
Base64
B04W
One's complement
4,294,488,553 (32-bit)
Scientific notation
4.78742 × 10⁵
As a duration
478,742 s = 5 days, 12 hours, 59 minutes, 2 seconds
In other bases
ternary (3) 220022201012
quaternary (4) 1310320112
quinary (5) 110304432
senary (6) 14132222
septenary (7) 4032515
nonary (9) 808635
undecimal (11) 2a7760
duodecimal (12) 1b1072
tridecimal (13) 139ba4
tetradecimal (14) c667c
pentadecimal (15) 96cb2

As an angle

478,742° = 1,329 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοηψμβʹ
Chinese
四十七萬八千七百四十二
Chinese (financial)
肆拾柒萬捌仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٤٧٨٧٤٢ Devanagari ४७८७४२ Bengali ৪৭৮৭৪২ Tamil ௪௭௮௭௪௨ Thai ๔๗๘๗๔๒ Tibetan ༤༧༨༧༤༢ Khmer ៤៧៨៧៤២ Lao ໔໗໘໗໔໒ Burmese ၄၇၈၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478742, here are decompositions:

  • 3 + 478739 = 478742
  • 13 + 478729 = 478742
  • 31 + 478711 = 478742
  • 139 + 478603 = 478742
  • 163 + 478579 = 478742
  • 211 + 478531 = 478742
  • 283 + 478459 = 478742
  • 331 + 478411 = 478742

Showing the first eight; more decompositions exist.

Hex color
#074E16
RGB(7, 78, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.22.

Address
0.7.78.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.78.22

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 478,742 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 478742 first appears in π at position 293,791 of the decimal expansion (the 293,791ordinal-suffix:st 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°.