number.wiki
Live analysis

464,464

464,464 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.).

464,464 (four hundred sixty-four thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 7 × 11 × 13 × 29. Its proper divisors sum to 785,456, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x71650.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Palindrome Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
9,216
Digital root
1
Palindrome
Yes
Bit width
19 bits
Square (n²)
215,726,807,296
Cube (n³)
100,197,335,823,929,344
Divisor count
80
σ(n) — sum of divisors
1,249,920
φ(n) — Euler's totient
161,280
Sum of prime factors
68

Primality

Prime factorization: 2 4 × 7 × 11 × 13 × 29

Nearest primes: 464,459 (−5) · 464,467 (+3)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 7 · 8 · 11 · 13 · 14 · 16 · 22 · 26 · 28 · 29 · 44 · 52 · 56 · 58 · 77 · 88 · 91 · 104 · 112 · 116 · 143 · 154 · 176 · 182 · 203 · 208 · 232 · 286 · 308 · 319 · 364 · 377 · 406 · 464 · 572 · 616 · 638 · 728 · 754 · 812 · 1001 · 1144 · 1232 · 1276 · 1456 · 1508 · 1624 · 2002 · 2233 · 2288 · 2552 · 2639 · 3016 · 3248 · 4004 · 4147 · 4466 · 5104 · 5278 · 6032 · 8008 · 8294 · 8932 · 10556 · 16016 · 16588 · 17864 · 21112 · 29029 · 33176 · 35728 · 42224 · 58058 · 66352 · 116116 · 232232 (half) · 464464
Aliquot sum (sum of proper divisors): 785,456
Factor pairs (a × b = 464,464)
1 × 464464
2 × 232232
4 × 116116
7 × 66352
8 × 58058
11 × 42224
13 × 35728
14 × 33176
16 × 29029
22 × 21112
26 × 17864
28 × 16588
29 × 16016
44 × 10556
52 × 8932
56 × 8294
58 × 8008
77 × 6032
88 × 5278
91 × 5104
104 × 4466
112 × 4147
116 × 4004
143 × 3248
154 × 3016
176 × 2639
182 × 2552
203 × 2288
208 × 2233
232 × 2002
286 × 1624
308 × 1508
319 × 1456
364 × 1276
377 × 1232
406 × 1144
464 × 1001
572 × 812
616 × 754
638 × 728
First multiples
464,464 · 928,928 (double) · 1,393,392 · 1,857,856 · 2,322,320 · 2,786,784 · 3,251,248 · 3,715,712 · 4,180,176 · 4,644,640

Sums & aliquot sequence

As consecutive integers: 66,349 + 66,350 + … + 66,355 42,219 + 42,220 + … + 42,229 35,722 + 35,723 + … + 35,734 16,002 + 16,003 + … + 16,030
Aliquot sequence: 464,464 → 785,456 → 954,016 → 1,193,024 → 1,513,600 → 2,660,240 → 4,089,328 → 3,865,520 → 5,203,840 → 7,574,720 → 10,463,344 → 10,691,552 → 10,463,848 → 9,155,882 → 4,961,878 → 2,491,994 → 1,275,814 — unresolved within range

Continued fraction of √n

√464,464 = [681; (1, 1, 15, 5, 1, 150, 1, 1, 1, 1, 2, 1, 1, 53, 1, 15, 1, 5, 2, 20, 1, 5, 9, 1, …)]

Representations

In words
four hundred sixty-four thousand four hundred sixty-four
Ordinal
464464th
Binary
1110001011001010000
Octal
1613120
Hexadecimal
0x71650
Base64
BxZQ
One's complement
4,294,502,831 (32-bit)
Scientific notation
4.64464 × 10⁵
As a duration
464,464 s = 5 days, 9 hours, 1 minute, 4 seconds
In other bases
ternary (3) 212121010101
quaternary (4) 1301121100
quinary (5) 104330324
senary (6) 13542144
septenary (7) 3643060
nonary (9) 777111
undecimal (11) 297a60
duodecimal (12) 1a4954
tridecimal (13) 133540
tetradecimal (14) c13a0
pentadecimal (15) 92944

As an angle

464,464° = 1,290 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδυξδʹ
Chinese
四十六萬四千四百六十四
Chinese (financial)
肆拾陸萬肆仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٤٦٤٤٦٤ Devanagari ४६४४६४ Bengali ৪৬৪৪৬৪ Tamil ௪௬௪௪௬௪ Thai ๔๖๔๔๖๔ Tibetan ༤༦༤༤༦༤ Khmer ៤៦៤៤៦៤ Lao ໔໖໔໔໖໔ Burmese ၄၆၄၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464464, here are decompositions:

  • 5 + 464459 = 464464
  • 17 + 464447 = 464464
  • 83 + 464381 = 464464
  • 113 + 464351 = 464464
  • 137 + 464327 = 464464
  • 173 + 464291 = 464464
  • 227 + 464237 = 464464
  • 251 + 464213 = 464464

Showing the first eight; more decompositions exist.

Hex color
#071650
RGB(7, 22, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.80.

Address
0.7.22.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.22.80

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 464,464 and was likely granted around 1891.

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

Related reading

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