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488,464

488,464 is a composite number, even.

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.).

488,464 (four hundred eighty-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 30,529. Written other ways, in hexadecimal, 0x77410.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
24,576
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
464,884
Recamán's sequence
a(146,876) = 488,464
Square (n²)
238,597,079,296
Cube (n³)
116,546,083,741,241,344
Divisor count
10
σ(n) — sum of divisors
946,430
φ(n) — Euler's totient
244,224
Sum of prime factors
30,537

Primality

Prime factorization: 2 4 × 30529

Nearest primes: 488,459 (−5) · 488,473 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 30529 · 61058 · 122116 · 244232 (half) · 488464
Aliquot sum (sum of proper divisors): 457,966
Factor pairs (a × b = 488,464)
1 × 488464
2 × 244232
4 × 122116
8 × 61058
16 × 30529
First multiples
488,464 · 976,928 (double) · 1,465,392 · 1,953,856 · 2,442,320 · 2,930,784 · 3,419,248 · 3,907,712 · 4,396,176 · 4,884,640

Sums & aliquot sequence

As a sum of two squares: 480² + 508²
As consecutive integers: 15,249 + 15,250 + … + 15,280
Aliquot sequence: 488,464 457,966 228,986 114,496 112,834 56,420 94,108 94,164 174,636 404,712 980,568 1,675,332 2,599,848 4,441,602 5,330,238 5,330,250 9,855,414 — unresolved within range

Continued fraction of √n

√488,464 = [698; (1, 9, 4, 1, 10, 8, 1, 1, 2, 3, 2, 1, 1, 4, 1, 6, 1, 2, 1, 3, 3, 4, 2, 2, …)]

Representations

In words
four hundred eighty-eight thousand four hundred sixty-four
Ordinal
488464th
Binary
1110111010000010000
Octal
1672020
Hexadecimal
0x77410
Base64
B3QQ
One's complement
4,294,478,831 (32-bit)
Scientific notation
4.88464 × 10⁵
As a duration
488,464 s = 5 days, 15 hours, 41 minutes, 4 seconds
In other bases
ternary (3) 220211001021
quaternary (4) 1313100100
quinary (5) 111112324
senary (6) 14245224
septenary (7) 4103044
nonary (9) 824037
undecimal (11) 303a99
duodecimal (12) 1b6814
tridecimal (13) 141442
tetradecimal (14) ca024
pentadecimal (15) 99ae4

As an angle

488,464° = 1,356 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπηυξδʹ
Chinese
四十八萬八千四百六十四
Chinese (financial)
肆拾捌萬捌仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٤٨٨٤٦٤ Devanagari ४८८४६४ Bengali ৪৮৮৪৬৪ Tamil ௪௮௮௪௬௪ Thai ๔๘๘๔๖๔ Tibetan ༤༨༨༤༦༤ Khmer ៤៨៨៤៦៤ Lao ໔໘໘໔໖໔ Burmese ၄၈၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488464, here are decompositions:

  • 5 + 488459 = 488464
  • 23 + 488441 = 488464
  • 47 + 488417 = 488464
  • 83 + 488381 = 488464
  • 131 + 488333 = 488464
  • 233 + 488231 = 488464
  • 257 + 488207 = 488464
  • 293 + 488171 = 488464

Showing the first eight; more decompositions exist.

Hex color
#077410
RGB(7, 116, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.16.

Address
0.7.116.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.116.16

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 488,464 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 488464 first appears in π at position 276,075 of the decimal expansion (the 276,075ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.