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478,801

478,801 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.).

478,801 (four hundred seventy-eight thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74E51.

Arithmetic Number Centered Hexagonal Cuban Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
108,874
Square (n²)
229,250,397,601
Cube (n³)
109,765,319,621,756,401
Divisor count
2
σ(n) — sum of divisors
478,802
φ(n) — Euler's totient
478,800

Primality

478,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 478801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 478,801)
1 × 478801
First multiples
478,801 · 957,602 (double) · 1,436,403 · 1,915,204 · 2,394,005 · 2,872,806 · 3,351,607 · 3,830,408 · 4,309,209 · 4,788,010

Sums & aliquot sequence

As a sum of two squares: 240² + 649²
As consecutive integers: 239,400 + 239,401

Continued fraction of √n

√478,801 = [691; (1, 20, 1, 29, 1, 3, 1, 38, 1, 2, 1, 6, 1, 1, 1, 6, 1, 172, 8, 2, 1, 1, 1, 1, …)]

Representations

In words
four hundred seventy-eight thousand eight hundred one
Ordinal
478801st
Binary
1110100111001010001
Octal
1647121
Hexadecimal
0x74E51
Base64
B05R
One's complement
4,294,488,494 (32-bit)
Scientific notation
4.78801 × 10⁵
As a duration
478,801 s = 5 days, 13 hours, 1 second
In other bases
ternary (3) 220022210101
quaternary (4) 1310321101
quinary (5) 110310201
senary (6) 14132401
septenary (7) 4032631
nonary (9) 808711
undecimal (11) 2a7804
duodecimal (12) 1b1101
tridecimal (13) 139c1b
tetradecimal (14) c66c1
pentadecimal (15) 96d01

As an angle

478,801° = 1,330 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υοηωαʹ
Chinese
四十七萬八千八百零一
Chinese (financial)
肆拾柒萬捌仟捌佰零壹
In other modern scripts
Eastern Arabic ٤٧٨٨٠١ Devanagari ४७८८०१ Bengali ৪৭৮৮০১ Tamil ௪௭௮௮௦௧ Thai ๔๗๘๘๐๑ Tibetan ༤༧༨༨༠༡ Khmer ៤៧៨៨០១ Lao ໔໗໘໘໐໑ Burmese ၄၇၈၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#074E51
RGB(7, 78, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.81.

Address
0.7.78.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.78.81

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 478,801 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 478801 first appears in π at position 383,595 of the decimal expansion (the 383,595ordinal-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

  • 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.