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464,816

464,816 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.).

464,816 (four hundred sixty-four thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 19 × 139. Its proper divisors sum to 576,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x717B0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,608
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
618,464
Recamán's sequence
a(132,704) = 464,816
Square (n²)
216,053,913,856
Cube (n³)
100,425,316,022,890,496
Divisor count
40
σ(n) — sum of divisors
1,041,600
φ(n) — Euler's totient
198,720
Sum of prime factors
177

Primality

Prime factorization: 2 4 × 11 × 19 × 139

Nearest primes: 464,813 (−3) · 464,819 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 38 · 44 · 76 · 88 · 139 · 152 · 176 · 209 · 278 · 304 · 418 · 556 · 836 · 1112 · 1529 · 1672 · 2224 · 2641 · 3058 · 3344 · 5282 · 6116 · 10564 · 12232 · 21128 · 24464 · 29051 · 42256 · 58102 · 116204 · 232408 (half) · 464816
Aliquot sum (sum of proper divisors): 576,784
Factor pairs (a × b = 464,816)
1 × 464816
2 × 232408
4 × 116204
8 × 58102
11 × 42256
16 × 29051
19 × 24464
22 × 21128
38 × 12232
44 × 10564
76 × 6116
88 × 5282
139 × 3344
152 × 3058
176 × 2641
209 × 2224
278 × 1672
304 × 1529
418 × 1112
556 × 836
First multiples
464,816 · 929,632 (double) · 1,394,448 · 1,859,264 · 2,324,080 · 2,788,896 · 3,253,712 · 3,718,528 · 4,183,344 · 4,648,160

Sums & aliquot sequence

As consecutive integers: 42,251 + 42,252 + … + 42,261 24,455 + 24,456 + … + 24,473 14,510 + 14,511 + … + 14,541 3,275 + 3,276 + … + 3,413
Aliquot sequence: 464,816 → 576,784 → 673,136 → 631,096 → 552,224 → 535,030 → 428,042 → 214,024 → 200,696 → 175,624 → 165,476 → 131,464 → 115,046 → 72,442 → 40,058 → 20,032 → 19,846 — unresolved within range

Continued fraction of √n

√464,816 = [681; (1, 3, 2, 2, 1, 27, 8, 2, 17, 2, 8, 27, 1, 2, 2, 3, 1, 1362)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-four thousand eight hundred sixteen
Ordinal
464816th
Binary
1110001011110110000
Octal
1613660
Hexadecimal
0x717B0
Base64
Bxew
One's complement
4,294,502,479 (32-bit)
Scientific notation
4.64816 × 10⁵
As a duration
464,816 s = 5 days, 9 hours, 6 minutes, 56 seconds
In other bases
ternary (3) 212121121102
quaternary (4) 1301132300
quinary (5) 104333231
senary (6) 13543532
septenary (7) 3644102
nonary (9) 777542
undecimal (11) 298250
duodecimal (12) 1a4ba8
tridecimal (13) 133751
tetradecimal (14) c1572
pentadecimal (15) 92acb

As an angle

464,816° = 1,291 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδωιϛʹ
Chinese
四十六萬四千八百一十六
Chinese (financial)
肆拾陸萬肆仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ٤٦٤٨١٦ Devanagari ४६४८१६ Bengali ৪৬৪৮১৬ Tamil ௪௬௪௮௧௬ Thai ๔๖๔๘๑๖ Tibetan ༤༦༤༨༡༦ Khmer ៤៦៤៨១៦ Lao ໔໖໔໘໑໖ Burmese ၄၆၄၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464816, here are decompositions:

  • 3 + 464813 = 464816
  • 7 + 464809 = 464816
  • 13 + 464803 = 464816
  • 43 + 464773 = 464816
  • 67 + 464749 = 464816
  • 199 + 464617 = 464816
  • 229 + 464587 = 464816
  • 277 + 464539 = 464816

Showing the first eight; more decompositions exist.

Hex color
#0717B0
RGB(7, 23, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.176.

Address
0.7.23.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.23.176

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 464,816 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 464816 first appears in π at position 880,367 of the decimal expansion (the 880,367ordinal-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°.