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509,449

509,449 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.).

509,449 (five hundred nine thousand four hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7C609.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
944,905
Square (n²)
259,538,283,601
Cube (n³)
132,221,519,042,245,849
Divisor count
2
σ(n) — sum of divisors
509,450
φ(n) — Euler's totient
509,448

Primality

509,449 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 509449
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 509,449)
1 × 509449
First multiples
509,449 · 1,018,898 (double) · 1,528,347 · 2,037,796 · 2,547,245 · 3,056,694 · 3,566,143 · 4,075,592 · 4,585,041 · 5,094,490

Sums & aliquot sequence

As a sum of two squares: 232² + 675²
As consecutive integers: 254,724 + 254,725

Continued fraction of √n

√509,449 = [713; (1, 3, 8, 1, 2, 1, 2, 10, 1, 1, 7, 5, 5, 1, 3, 19, 1, 1, 3, 3, 1, 1, 10, 1, …)]

Representations

In words
five hundred nine thousand four hundred forty-nine
Ordinal
509449th
Binary
1111100011000001001
Octal
1743011
Hexadecimal
0x7C609
Base64
B8YJ
One's complement
4,294,457,846 (32-bit)
Scientific notation
5.09449 × 10⁵
As a duration
509,449 s = 5 days, 21 hours, 30 minutes, 49 seconds
In other bases
ternary (3) 221212211111
quaternary (4) 1330120021
quinary (5) 112300244
senary (6) 14530321
septenary (7) 4221163
nonary (9) 855744
undecimal (11) 318836
duodecimal (12) 2069a1
tridecimal (13) 14ab65
tetradecimal (14) d3933
pentadecimal (15) a0e34

As an angle

509,449° = 1,415 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φθυμθʹ
Chinese
五十萬九千四百四十九
Chinese (financial)
伍拾萬玖仟肆佰肆拾玖
In other modern scripts
Eastern Arabic ٥٠٩٤٤٩ Devanagari ५०९४४९ Bengali ৫০৯৪৪৯ Tamil ௫௦௯௪௪௯ Thai ๕๐๙๔๔๙ Tibetan ༥༠༩༤༤༩ Khmer ៥០៩៤៤៩ Lao ໕໐໙໔໔໙ Burmese ၅၀၉၄၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07C609
RGB(7, 198, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.198.9.

Address
0.7.198.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.198.9

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 509,449 and was likely granted around 1893.

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

Position in π

The digit sequence 509449 first appears in π at position 652,997 of the decimal expansion (the 652,997ordinal-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.