number.wiki
Live analysis

498,464

498,464 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.).

498,464 (four hundred ninety-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 37 × 421. Its proper divisors sum to 511,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79B20.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
27,648
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
464,894
Square (n²)
248,466,359,296
Cube (n³)
123,851,535,320,121,344
Divisor count
24
σ(n) — sum of divisors
1,010,268
φ(n) — Euler's totient
241,920
Sum of prime factors
468

Primality

Prime factorization: 2 5 × 37 × 421

Nearest primes: 498,461 (−3) · 498,467 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 37 · 74 · 148 · 296 · 421 · 592 · 842 · 1184 · 1684 · 3368 · 6736 · 13472 · 15577 · 31154 · 62308 · 124616 · 249232 (half) · 498464
Aliquot sum (sum of proper divisors): 511,804
Factor pairs (a × b = 498,464)
1 × 498464
2 × 249232
4 × 124616
8 × 62308
16 × 31154
32 × 15577
37 × 13472
74 × 6736
148 × 3368
296 × 1684
421 × 1184
592 × 842
First multiples
498,464 · 996,928 (double) · 1,495,392 · 1,993,856 · 2,492,320 · 2,990,784 · 3,489,248 · 3,987,712 · 4,486,176 · 4,984,640

Sums & aliquot sequence

As a sum of two squares: 92² + 700² = 140² + 692²
As consecutive integers: 13,454 + 13,455 + … + 13,490 7,757 + 7,758 + … + 7,820 974 + 975 + … + 1,394
Aliquot sequence: 498,464 511,804 383,860 470,420 542,284 406,720 617,408 720,664 916,616 802,054 510,434 255,220 357,644 374,164 430,220 623,140 872,732 — unresolved within range

Continued fraction of √n

√498,464 = [706; (50, 2, 3, 28, 1, 1, 7, 1, 1, 3, 1, 1, 1, 13, 2, 12, 7, 1, 87, 2, 1, 1, 1, 11, …)]

Representations

In words
four hundred ninety-eight thousand four hundred sixty-four
Ordinal
498464th
Binary
1111001101100100000
Octal
1715440
Hexadecimal
0x79B20
Base64
B5sg
One's complement
4,294,468,831 (32-bit)
Scientific notation
4.98464 × 10⁵
As a duration
498,464 s = 5 days, 18 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 221022202122
quaternary (4) 1321230200
quinary (5) 111422324
senary (6) 14403412
septenary (7) 4144151
nonary (9) 838678
undecimal (11) 31055a
duodecimal (12) 200568
tridecimal (13) 145b65
tetradecimal (14) cd928
pentadecimal (15) 9ca5e

As an angle

498,464° = 1,384 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟηυξδʹ
Chinese
四十九萬八千四百六十四
Chinese (financial)
肆拾玖萬捌仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٤٩٨٤٦٤ Devanagari ४९८४६४ Bengali ৪৯৮৪৬৪ Tamil ௪௯௮௪௬௪ Thai ๔๙๘๔๖๔ Tibetan ༤༩༨༤༦༤ Khmer ៤៩៨៤៦៤ Lao ໔໙໘໔໖໔ Burmese ၄၉၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 498464, here are decompositions:

  • 3 + 498461 = 498464
  • 61 + 498403 = 498464
  • 67 + 498397 = 498464
  • 73 + 498391 = 498464
  • 97 + 498367 = 498464
  • 103 + 498361 = 498464
  • 163 + 498301 = 498464
  • 193 + 498271 = 498464

Showing the first eight; more decompositions exist.

Hex color
#079B20
RGB(7, 155, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.155.32.

Address
0.7.155.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.155.32

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 498,464 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 498464 first appears in π at position 527,029 of the decimal expansion (the 527,029ordinal-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°.