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471,152

471,152 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.).

471,152 (four hundred seventy-one thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 2,677. Its proper divisors sum to 525,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73070.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
280
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
251,174
Square (n²)
221,984,207,104
Cube (n³)
104,588,303,145,463,808
Divisor count
20
σ(n) — sum of divisors
996,216
φ(n) — Euler's totient
214,080
Sum of prime factors
2,696

Primality

Prime factorization: 2 4 × 11 × 2677

Nearest primes: 471,139 (−13) · 471,161 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 2677 · 5354 · 10708 · 21416 · 29447 · 42832 · 58894 · 117788 · 235576 (half) · 471152
Aliquot sum (sum of proper divisors): 525,064
Factor pairs (a × b = 471,152)
1 × 471152
2 × 235576
4 × 117788
8 × 58894
11 × 42832
16 × 29447
22 × 21416
44 × 10708
88 × 5354
176 × 2677
First multiples
471,152 · 942,304 (double) · 1,413,456 · 1,884,608 · 2,355,760 · 2,826,912 · 3,298,064 · 3,769,216 · 4,240,368 · 4,711,520

Sums & aliquot sequence

As consecutive integers: 42,827 + 42,828 + … + 42,837 14,708 + 14,709 + … + 14,739 1,163 + 1,164 + … + 1,514
Aliquot sequence: 471,152 525,064 459,446 302,602 157,910 126,346 80,438 43,594 22,934 11,470 10,418 5,212 3,916 3,644 2,740 3,056 2,896 — unresolved within range

Continued fraction of √n

√471,152 = [686; (2, 2, 7, 2, 2, 1372)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand one hundred fifty-two
Ordinal
471152nd
Binary
1110011000001110000
Octal
1630160
Hexadecimal
0x73070
Base64
BzBw
One's complement
4,294,496,143 (32-bit)
Scientific notation
4.71152 × 10⁵
As a duration
471,152 s = 5 days, 10 hours, 52 minutes, 32 seconds
In other bases
ternary (3) 212221022002
quaternary (4) 1303001300
quinary (5) 110034102
senary (6) 14033132
septenary (7) 4001423
nonary (9) 787262
undecimal (11) 2a1a90
duodecimal (12) 1a87a8
tridecimal (13) 1365b6
tetradecimal (14) c39ba
pentadecimal (15) 94902

As an angle

471,152° = 1,308 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοαρνβʹ
Chinese
四十七萬一千一百五十二
Chinese (financial)
肆拾柒萬壹仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ٤٧١١٥٢ Devanagari ४७११५२ Bengali ৪৭১১৫২ Tamil ௪௭௧௧௫௨ Thai ๔๗๑๑๕๒ Tibetan ༤༧༡༡༥༢ Khmer ៤៧១១៥២ Lao ໔໗໑໑໕໒ Burmese ၄၇၁၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471152, here are decompositions:

  • 13 + 471139 = 471152
  • 61 + 471091 = 471152
  • 79 + 471073 = 471152
  • 193 + 470959 = 471152
  • 211 + 470941 = 471152
  • 271 + 470881 = 471152
  • 373 + 470779 = 471152
  • 421 + 470731 = 471152

Showing the first eight; more decompositions exist.

Hex color
#073070
RGB(7, 48, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.112.

Address
0.7.48.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.112

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 471,152 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 471152 first appears in π at position 460,854 of the decimal expansion (the 460,854ordinal-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°.