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468,464

468,464 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.).

468,464 (four hundred sixty-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 19 × 23 × 67. Its proper divisors sum to 543,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x725F0.

Abundant Number Arithmetic Number Evil Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
18,432
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
464,864
Square (n²)
219,458,519,296
Cube (n³)
102,808,415,783,481,344
Divisor count
40
σ(n) — sum of divisors
1,011,840
φ(n) — Euler's totient
209,088
Sum of prime factors
117

Primality

Prime factorization: 2 4 × 19 × 23 × 67

Nearest primes: 468,463 (−1) · 468,473 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 16 · 19 · 23 · 38 · 46 · 67 · 76 · 92 · 134 · 152 · 184 · 268 · 304 · 368 · 437 · 536 · 874 · 1072 · 1273 · 1541 · 1748 · 2546 · 3082 · 3496 · 5092 · 6164 · 6992 · 10184 · 12328 · 20368 · 24656 · 29279 · 58558 · 117116 · 234232 (half) · 468464
Aliquot sum (sum of proper divisors): 543,376
Factor pairs (a × b = 468,464)
1 × 468464
2 × 234232
4 × 117116
8 × 58558
16 × 29279
19 × 24656
23 × 20368
38 × 12328
46 × 10184
67 × 6992
76 × 6164
92 × 5092
134 × 3496
152 × 3082
184 × 2546
268 × 1748
304 × 1541
368 × 1273
437 × 1072
536 × 874
First multiples
468,464 · 936,928 (double) · 1,405,392 · 1,873,856 · 2,342,320 · 2,810,784 · 3,279,248 · 3,747,712 · 4,216,176 · 4,684,640

Sums & aliquot sequence

As consecutive integers: 24,647 + 24,648 + … + 24,665 20,357 + 20,358 + … + 20,379 14,624 + 14,625 + … + 14,655 6,959 + 6,960 + … + 7,025
Aliquot sequence: 468,464 → 543,376 → 509,446 → 363,914 → 181,960 → 227,540 → 267,052 → 200,296 → 175,274 → 121,942 → 70,658 → 54,142 → 39,170 → 31,354 → 16,634 → 8,320 → 13,100 — unresolved within range

Continued fraction of √n

√468,464 = [684; (2, 3, 1, 84, 1, 3, 2, 1368)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-eight thousand four hundred sixty-four
Ordinal
468464th
Binary
1110010010111110000
Octal
1622760
Hexadecimal
0x725F0
Base64
ByXw
One's complement
4,294,498,831 (32-bit)
Scientific notation
4.68464 × 10⁵
As a duration
468,464 s = 5 days, 10 hours, 7 minutes, 44 seconds
In other bases
ternary (3) 212210121112
quaternary (4) 1302113300
quinary (5) 104442324
senary (6) 14012452
septenary (7) 3660533
nonary (9) 783545
undecimal (11) 29aa67
duodecimal (12) 1a7128
tridecimal (13) 1352c9
tetradecimal (14) c2a1a
pentadecimal (15) 93c0e

As an angle

468,464° = 1,301 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξηυξδʹ
Chinese
四十六萬八千四百六十四
Chinese (financial)
肆拾陸萬捌仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٤٦٨٤٦٤ Devanagari ४६८४६४ Bengali ৪৬৮৪৬৪ Tamil ௪௬௮௪௬௪ Thai ๔๖๘๔๖๔ Tibetan ༤༦༨༤༦༤ Khmer ៤៦៨៤៦៤ Lao ໔໖໘໔໖໔ Burmese ၄၆၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468464, here are decompositions:

  • 13 + 468451 = 468464
  • 43 + 468421 = 468464
  • 193 + 468271 = 468464
  • 211 + 468253 = 468464
  • 223 + 468241 = 468464
  • 277 + 468187 = 468464
  • 307 + 468157 = 468464
  • 313 + 468151 = 468464

Showing the first eight; more decompositions exist.

Hex color
#0725F0
RGB(7, 37, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.37.240.

Address
0.7.37.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.37.240

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 468,464 and was likely granted around 1891.

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

Position in π

The digit sequence 468464 first appears in π at position 306,829 of the decimal expansion (the 306,829ordinal-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°.