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528,329

528,329 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.).

528,329 (five hundred twenty-eight thousand three 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, 0x80FC9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
4,320
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
923,825
Square (n²)
279,131,532,241
Cube (n³)
147,473,283,297,355,289
Divisor count
2
σ(n) — sum of divisors
528,330
φ(n) — Euler's totient
528,328

Primality

528,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 528329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 528,329)
1 × 528329
First multiples
528,329 · 1,056,658 (double) · 1,584,987 · 2,113,316 · 2,641,645 · 3,169,974 · 3,698,303 · 4,226,632 · 4,754,961 · 5,283,290

Sums & aliquot sequence

As a sum of two squares: 52² + 725²
As consecutive integers: 264,164 + 264,165

Continued fraction of √n

√528,329 = [726; (1, 6, 3, 1, 2, 2, 17, 1, 2, 1, 35, 1, 1, 2, 11, 4, 3, 45, 8, 3, 1, 1, 25, 2, …)]

Representations

In words
five hundred twenty-eight thousand three hundred twenty-nine
Ordinal
528329th
Binary
10000000111111001001
Octal
2007711
Hexadecimal
0x80FC9
Base64
CA/J
One's complement
4,294,438,966 (32-bit)
Scientific notation
5.28329 × 10⁵
As a duration
528,329 s = 6 days, 2 hours, 45 minutes, 29 seconds
In other bases
ternary (3) 222211201202
quaternary (4) 2000333021
quinary (5) 113401304
senary (6) 15153545
septenary (7) 4330214
nonary (9) 884652
undecimal (11) 330a3a
duodecimal (12) 2158b5
tridecimal (13) 156629
tetradecimal (14) da77b
pentadecimal (15) a681e

As an angle

528,329° = 1,467 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκητκθʹ
Chinese
五十二萬八千三百二十九
Chinese (financial)
伍拾貳萬捌仟參佰貳拾玖
In other modern scripts
Eastern Arabic ٥٢٨٣٢٩ Devanagari ५२८३२९ Bengali ৫২৮৩২৯ Tamil ௫௨௮௩௨௯ Thai ๕๒๘๓๒๙ Tibetan ༥༢༨༣༢༩ Khmer ៥២៨៣២៩ Lao ໕໒໘໓໒໙ Burmese ၅၂၈၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#080FC9
RGB(8, 15, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.15.201.

Address
0.8.15.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.15.201

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 528,329 and was likely granted around 1894.

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

Position in π

The digit sequence 528329 first appears in π at position 477,944 of the decimal expansion (the 477,944ordinal-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.