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528,137

528,137 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.).

528,137 (five hundred twenty-eight thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x80F09.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
731,825
Square (n²)
278,928,690,769
Cube (n³)
147,312,561,956,667,353
Divisor count
2
σ(n) — sum of divisors
528,138
φ(n) — Euler's totient
528,136

Primality

528,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 528137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 528,137)
1 × 528137
First multiples
528,137 · 1,056,274 (double) · 1,584,411 · 2,112,548 · 2,640,685 · 3,168,822 · 3,696,959 · 4,225,096 · 4,753,233 · 5,281,370

Sums & aliquot sequence

As a sum of two squares: 364² + 629²
As consecutive integers: 264,068 + 264,069

Continued fraction of √n

√528,137 = [726; (1, 2, 1, 2, 2, 3, 10, 2, 1, 1, 7, 1, 1, 10, 12, 1, 3, 3, 3, 6, 5, 2, 1, 2, …)]

Representations

In words
five hundred twenty-eight thousand one hundred thirty-seven
Ordinal
528137th
Binary
10000000111100001001
Octal
2007411
Hexadecimal
0x80F09
Base64
CA8J
One's complement
4,294,439,158 (32-bit)
Scientific notation
5.28137 × 10⁵
As a duration
528,137 s = 6 days, 2 hours, 42 minutes, 17 seconds
In other bases
ternary (3) 222211110122
quaternary (4) 2000330021
quinary (5) 113400022
senary (6) 15153025
septenary (7) 4326521
nonary (9) 884418
undecimal (11) 330885
duodecimal (12) 215775
tridecimal (13) 15650c
tetradecimal (14) da681
pentadecimal (15) a6742

As an angle

528,137° = 1,467 × 360° + 17°
17° ≈ 0.297 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκηρλζʹ
Chinese
五十二萬八千一百三十七
Chinese (financial)
伍拾貳萬捌仟壹佰參拾柒
In other modern scripts
Eastern Arabic ٥٢٨١٣٧ Devanagari ५२८१३७ Bengali ৫২৮১৩৭ Tamil ௫௨௮௧௩௭ Thai ๕๒๘๑๓๗ Tibetan ༥༢༨༡༣༧ Khmer ៥២៨១៣៧ Lao ໕໒໘໑໓໗ Burmese ၅၂၈၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 528131.

Hex color
#080F09
RGB(8, 15, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.15.9.

Address
0.8.15.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.15.9

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 528,137 and was likely granted around 1894.

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.