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478,427

478,427 is a prime, odd.

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.).

478,427 (four hundred seventy-eight thousand four hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74CDB.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
12,544
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
724,874
Square (n²)
228,892,394,329
Cube (n³)
109,508,301,541,640,483
Divisor count
2
σ(n) — sum of divisors
478,428
φ(n) — Euler's totient
478,426

Primality

478,427 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 478427
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 478,427)
1 × 478427
First multiples
478,427 · 956,854 (double) · 1,435,281 · 1,913,708 · 2,392,135 · 2,870,562 · 3,348,989 · 3,827,416 · 4,305,843 · 4,784,270

Sums & aliquot sequence

As consecutive integers: 239,213 + 239,214

Continued fraction of √n

√478,427 = [691; (1, 2, 6, 81, 4, 1, 1, 1, 1, 2, 5, 4, 1, 1, 1, 1, 40, 12, 1, 2, 691, 2, 1, 12, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-eight thousand four hundred twenty-seven
Ordinal
478427th
Binary
1110100110011011011
Octal
1646333
Hexadecimal
0x74CDB
Base64
B0zb
One's complement
4,294,488,868 (32-bit)
Scientific notation
4.78427 × 10⁵
As a duration
478,427 s = 5 days, 12 hours, 53 minutes, 47 seconds
In other bases
ternary (3) 220022021112
quaternary (4) 1310303123
quinary (5) 110302202
senary (6) 14130535
septenary (7) 4031555
nonary (9) 808245
undecimal (11) 2a74a4
duodecimal (12) 1b0a4b
tridecimal (13) 1399c1
tetradecimal (14) c64d5
pentadecimal (15) 96b52

As an angle

478,427° = 1,328 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοηυκζʹ
Chinese
四十七萬八千四百二十七
Chinese (financial)
肆拾柒萬捌仟肆佰貳拾柒
In other modern scripts
Eastern Arabic ٤٧٨٤٢٧ Devanagari ४७८४२७ Bengali ৪৭৮৪২৭ Tamil ௪௭௮௪௨௭ Thai ๔๗๘๔๒๗ Tibetan ༤༧༨༤༢༧ Khmer ៤៧៨៤២៧ Lao ໔໗໘໔໒໗ Burmese ၄၇၈၄၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 478421, sexy with 478433.

Hex color
#074CDB
RGB(7, 76, 219)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.219.

Address
0.7.76.219
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.76.219

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 478,427 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.