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464,628

464,628 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.).

464,628 (four hundred sixty-four thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 1,249. Its proper divisors sum to 655,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x716F4.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
9,216
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
826,464
Recamán's sequence
a(132,328) = 464,628
Square (n²)
215,879,178,384
Cube (n³)
100,303,510,894,201,152
Divisor count
24
σ(n) — sum of divisors
1,120,000
φ(n) — Euler's totient
149,760
Sum of prime factors
1,287

Primality

Prime factorization: 2 2 × 3 × 31 × 1249

Nearest primes: 464,621 (−7) · 464,647 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 372 · 1249 · 2498 · 3747 · 4996 · 7494 · 14988 · 38719 · 77438 · 116157 · 154876 · 232314 (half) · 464628
Aliquot sum (sum of proper divisors): 655,372
Factor pairs (a × b = 464,628)
1 × 464628
2 × 232314
3 × 154876
4 × 116157
6 × 77438
12 × 38719
31 × 14988
62 × 7494
93 × 4996
124 × 3747
186 × 2498
372 × 1249
First multiples
464,628 · 929,256 (double) · 1,393,884 · 1,858,512 · 2,323,140 · 2,787,768 · 3,252,396 · 3,717,024 · 4,181,652 · 4,646,280

Sums & aliquot sequence

As consecutive integers: 154,875 + 154,876 + 154,877 58,075 + 58,076 + … + 58,082 19,348 + 19,349 + … + 19,371 14,973 + 14,974 + … + 15,003
Aliquot sequence: 464,628 → 655,372 → 511,388 → 389,932 → 302,564 → 226,930 → 218,894 → 134,746 → 69,914 → 43,066 → 22,778 → 16,294 → 8,150 → 7,102 → 3,914 → 2,326 → 1,166 — unresolved within range

Continued fraction of √n

√464,628 = [681; (1, 1, 1, 2, 1, 84, 2, 10, 2, 84, 1, 2, 1, 1, 1, 1362)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-four thousand six hundred twenty-eight
Ordinal
464628th
Binary
1110001011011110100
Octal
1613364
Hexadecimal
0x716F4
Base64
Bxb0
One's complement
4,294,502,667 (32-bit)
Scientific notation
4.64628 × 10⁵
As a duration
464,628 s = 5 days, 9 hours, 3 minutes, 48 seconds
In other bases
ternary (3) 212121100110
quaternary (4) 1301123310
quinary (5) 104332003
senary (6) 13543020
septenary (7) 3643413
nonary (9) 777313
undecimal (11) 29809a
duodecimal (12) 1a4a70
tridecimal (13) 133638
tetradecimal (14) c147a
pentadecimal (15) 92a03

As an angle

464,628° = 1,290 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδχκηʹ
Chinese
四十六萬四千六百二十八
Chinese (financial)
肆拾陸萬肆仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ٤٦٤٦٢٨ Devanagari ४६४६२८ Bengali ৪৬৪৬২৮ Tamil ௪௬௪௬௨௮ Thai ๔๖๔๖๒๘ Tibetan ༤༦༤༦༢༨ Khmer ៤៦៤៦២៨ Lao ໔໖໔໖໒໘ Burmese ၄၆၄၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464628, here are decompositions:

  • 7 + 464621 = 464628
  • 11 + 464617 = 464628
  • 37 + 464591 = 464628
  • 41 + 464587 = 464628
  • 67 + 464561 = 464628
  • 71 + 464557 = 464628
  • 79 + 464549 = 464628
  • 89 + 464539 = 464628

Showing the first eight; more decompositions exist.

Hex color
#0716F4
RGB(7, 22, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.244.

Address
0.7.22.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.22.244

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 464,628 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°.