Live analysis

470,628

470,628 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.).

470,628 (four hundred seventy thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 17 × 769. Its proper divisors sum to 790,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72E64.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

470,616 470,617 470,618 470,619 470,620 470,621 470,622 470,623 470,624 470,625 470,626 470,627 470,628 470,629 470,630 470,631 470,632 470,633 470,634 470,635 470,636 470,637 470,638 470,639 470,640

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 826,074
Recamán's sequence: a(135,352) = 470,628
Square (n²): 221,490,714,384
Cube (n³): 104,239,731,929,113,152
Divisor count: 36
σ(n) — sum of divisors: 1,261,260
φ(n) — Euler's totient: 147,456
Sum of prime factors: 796

Primality

Prime factorization: 2 ² × 3 ² × 17 × 769

Nearest primes: 470,627 (−1) · 470,647 (+19)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 34 · 36 · 51 · 68 · 102 · 153 · 204 · 306 · 612 · 769 · 1538 · 2307 · 3076 · 4614 · 6921 · 9228 · 13073 · 13842 · 26146 · 27684 · 39219 · 52292 · 78438 · 117657 · 156876 · 235314 (half) · 470628

Aliquot sum (sum of proper divisors): 790,632

Factor pairs (a × b = 470,628)

1 × 470628

2 × 235314

3 × 156876

4 × 117657

6 × 78438

9 × 52292

12 × 39219

17 × 27684

18 × 26146

34 × 13842

36 × 13073

51 × 9228

68 × 6921

102 × 4614

153 × 3076

204 × 2307

306 × 1538

612 × 769

First multiples

470,628 · 941,256 (double) · 1,411,884 · 1,882,512 · 2,353,140 · 2,823,768 · 3,294,396 · 3,765,024 · 4,235,652 · 4,706,280

Sums & aliquot sequence

As a sum of two squares: 138² + 672² = 438² + 528²

As consecutive integers: 156,875 + 156,876 + 156,877 58,825 + 58,826 + … + 58,832 52,288 + 52,289 + … + 52,296 27,676 + 27,677 + … + 27,692

Aliquot sequence: 470,628 → 790,632 → 1,393,368 → 2,090,112 → 3,462,768 → 6,354,312 → 9,531,528 → 14,392,632 → 21,589,008 → 44,737,104 → 72,800,016 → 122,276,784 → 259,984,464 → 415,939,536 → 787,913,906 → 484,870,138 → 251,776,262 — unresolved within range

Continued fraction of √n

√470,628 = [686; (42, 1, 7, 21, 3, 5, 10, 1, 1, 7, 2, 4, 1, 8, 6, 1, 1, 1, 4, 1, 1, 3, 3, 1, …)]

Representations

In words: four hundred seventy thousand six hundred twenty-eight
Ordinal: 470628th
Binary: 1110010111001100100
Octal: 1627144
Hexadecimal: 0x72E64
Base64: By5k
One's complement: 4,294,496,667 (32-bit)
Scientific notation: 4.70628 × 10⁵
As a duration: 470,628 s = 5 days, 10 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 212220120200

quaternary (4) 1302321210

quinary (5) 110030003

senary (6) 14030500

septenary (7) 4000044

nonary (9) 786520

undecimal (11) 2a1654

duodecimal (12) 1a8430

tridecimal (13) 1362a2

tetradecimal (14) c3724

pentadecimal (15) 946a3

As an angle

470,628° = 1,307 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοχκηʹ
Chinese: 四十七萬零六百二十八
Chinese (financial): 肆拾柒萬零陸佰貳拾捌

In other modern scripts

Eastern Arabic ٤٧٠٦٢٨ Devanagari ४७०६२८ Bengali ৪৭০৬২৮ Tamil ௪௭௦௬௨௮ Thai ๔๗๐๖๒๘ Tibetan ༤༧༠༦༢༨ Khmer ៤៧០៦២៨ Lao ໔໗໐໖໒໘ Burmese ၄၇၀၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470628, here are decompositions:

7 + 470621 = 470628
19 + 470609 = 470628
29 + 470599 = 470628
31 + 470597 = 470628
89 + 470539 = 470628
97 + 470531 = 470628
107 + 470521 = 470628
127 + 470501 = 470628

Showing the first eight; more decompositions exist.

Hex color

#072E64

RGB(7, 46, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.100.

Address: 0.7.46.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.46.100

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 470,628 and was likely granted around 1891.

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

Look up US470,628 on Google Patents ↗ Look up on USPTO ↗