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478,729

478,729 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.).

478,729 (four hundred seventy-eight thousand seven hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74E09.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
28,224
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
927,874
Square (n²)
229,181,455,441
Cube (n³)
109,715,808,981,814,489
Divisor count
2
σ(n) — sum of divisors
478,730
φ(n) — Euler's totient
478,728

Primality

478,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 478729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 478,729)
1 × 478729
First multiples
478,729 · 957,458 (double) · 1,436,187 · 1,914,916 · 2,393,645 · 2,872,374 · 3,351,103 · 3,829,832 · 4,308,561 · 4,787,290

Sums & aliquot sequence

As a sum of two squares: 152² + 675²
As consecutive integers: 239,364 + 239,365

Continued fraction of √n

√478,729 = [691; (1, 9, 3, 1, 54, 1, 1, 2, 9, 1, 5, 1, 2, 1, 1, 6, 2, 1, 9, 3, 1, 2, 172, 1, …)]

Representations

In words
four hundred seventy-eight thousand seven hundred twenty-nine
Ordinal
478729th
Binary
1110100111000001001
Octal
1647011
Hexadecimal
0x74E09
Base64
B04J
One's complement
4,294,488,566 (32-bit)
Scientific notation
4.78729 × 10⁵
As a duration
478,729 s = 5 days, 12 hours, 58 minutes, 49 seconds
In other bases
ternary (3) 220022200201
quaternary (4) 1310320021
quinary (5) 110304404
senary (6) 14132201
septenary (7) 4032466
nonary (9) 808621
undecimal (11) 2a7749
duodecimal (12) 1b1061
tridecimal (13) 139b94
tetradecimal (14) c666d
pentadecimal (15) 96ca4

As an angle

478,729° = 1,329 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοηψκθʹ
Chinese
四十七萬八千七百二十九
Chinese (financial)
肆拾柒萬捌仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ٤٧٨٧٢٩ Devanagari ४७८७२९ Bengali ৪৭৮৭২৯ Tamil ௪௭௮௭௨௯ Thai ๔๗๘๗๒๙ Tibetan ༤༧༨༧༢༩ Khmer ៤៧៨៧២៩ Lao ໔໗໘໗໒໙ Burmese ၄၇၈၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 478727.

Hex color
#074E09
RGB(7, 78, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.9.

Address
0.7.78.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.78.9

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 478,729 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 478729 first appears in π at position 111,270 of the decimal expansion (the 111,270ordinal-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.