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488,474

488,474 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.).

488,474 (four hundred eighty-eight thousand four hundred seventy-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 23 × 37 × 41. Written other ways, in hexadecimal, 0x7741A.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
28,672
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
474,884
Recamán's sequence
a(146,856) = 488,474
Square (n²)
238,606,848,676
Cube (n³)
116,553,241,800,160,424
Divisor count
32
σ(n) — sum of divisors
919,296
φ(n) — Euler's totient
190,080
Sum of prime factors
110

Primality

Prime factorization: 2 × 7 × 23 × 37 × 41

Nearest primes: 488,473 (−1) · 488,503 (+29)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 14 · 23 · 37 · 41 · 46 · 74 · 82 · 161 · 259 · 287 · 322 · 518 · 574 · 851 · 943 · 1517 · 1702 · 1886 · 3034 · 5957 · 6601 · 10619 · 11914 · 13202 · 21238 · 34891 · 69782 · 244237 (half) · 488474
Aliquot sum (sum of proper divisors): 430,822
Factor pairs (a × b = 488,474)
1 × 488474
2 × 244237
7 × 69782
14 × 34891
23 × 21238
37 × 13202
41 × 11914
46 × 10619
74 × 6601
82 × 5957
161 × 3034
259 × 1886
287 × 1702
322 × 1517
518 × 943
574 × 851
First multiples
488,474 · 976,948 (double) · 1,465,422 · 1,953,896 · 2,442,370 · 2,930,844 · 3,419,318 · 3,907,792 · 4,396,266 · 4,884,740

Sums & aliquot sequence

As consecutive integers: 122,117 + 122,118 + 122,119 + 122,120 69,779 + 69,780 + … + 69,785 21,227 + 21,228 + … + 21,249 17,432 + 17,433 + … + 17,459
Aliquot sequence: 488,474 430,822 307,754 153,880 192,440 267,640 334,640 468,880 621,452 719,188 605,772 1,007,028 1,771,020 3,601,620 9,135,468 13,957,056 28,288,224 — unresolved within range

Continued fraction of √n

√488,474 = [698; (1, 10, 139, 1, 2, 4, 4, 55, 1, 2, 11, 8, 5, 2, 7, 4, 2, 4, 2, 1, 1, 3, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-eight thousand four hundred seventy-four
Ordinal
488474th
Binary
1110111010000011010
Octal
1672032
Hexadecimal
0x7741A
Base64
B3Qa
One's complement
4,294,478,821 (32-bit)
Scientific notation
4.88474 × 10⁵
As a duration
488,474 s = 5 days, 15 hours, 41 minutes, 14 seconds
In other bases
ternary (3) 220211001122
quaternary (4) 1313100122
quinary (5) 111112344
senary (6) 14245242
septenary (7) 4103060
nonary (9) 824048
undecimal (11) 303aa8
duodecimal (12) 1b6822
tridecimal (13) 14144c
tetradecimal (14) ca030
pentadecimal (15) 99aee

As an angle

488,474° = 1,356 × 360° + 314°
314° ≈ 5.48 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υπηυοδʹ
Chinese
四十八萬八千四百七十四
Chinese (financial)
肆拾捌萬捌仟肆佰柒拾肆
In other modern scripts
Eastern Arabic ٤٨٨٤٧٤ Devanagari ४८८४७४ Bengali ৪৮৮৪৭৪ Tamil ௪௮௮௪௭௪ Thai ๔๘๘๔๗๔ Tibetan ༤༨༨༤༧༤ Khmer ៤៨៨៤៧៤ Lao ໔໘໘໔໗໔ Burmese ၄၈၈၄၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488474, here are decompositions:

  • 67 + 488407 = 488474
  • 73 + 488401 = 488474
  • 127 + 488347 = 488474
  • 157 + 488317 = 488474
  • 163 + 488311 = 488474
  • 211 + 488263 = 488474
  • 241 + 488233 = 488474
  • 271 + 488203 = 488474

Showing the first eight; more decompositions exist.

Hex color
#07741A
RGB(7, 116, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.26.

Address
0.7.116.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.116.26

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 488,474 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 488474 first appears in π at position 64,401 of the decimal expansion (the 64,401ordinal-suffix:st 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°.