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472,770

472,770 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.).

472,770 (four hundred seventy-two thousand seven hundred seventy) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3³ × 5 × 17 × 103. Its proper divisors sum to 875,070, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x736C2.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
77,274
Square (n²)
223,511,472,900
Cube (n³)
105,669,519,042,933,000
Divisor count
64
σ(n) — sum of divisors
1,347,840
φ(n) — Euler's totient
117,504
Sum of prime factors
136

Primality

Prime factorization: 2 × 3 3 × 5 × 17 × 103

Nearest primes: 472,763 (−7) · 472,793 (+23)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 27 · 30 · 34 · 45 · 51 · 54 · 85 · 90 · 102 · 103 · 135 · 153 · 170 · 206 · 255 · 270 · 306 · 309 · 459 · 510 · 515 · 618 · 765 · 918 · 927 · 1030 · 1530 · 1545 · 1751 · 1854 · 2295 · 2781 · 3090 · 3502 · 4590 · 4635 · 5253 · 5562 · 8755 · 9270 · 10506 · 13905 · 15759 · 17510 · 26265 · 27810 · 31518 · 47277 · 52530 · 78795 · 94554 · 157590 · 236385 (half) · 472770
Aliquot sum (sum of proper divisors): 875,070
Factor pairs (a × b = 472,770)
1 × 472770
2 × 236385
3 × 157590
5 × 94554
6 × 78795
9 × 52530
10 × 47277
15 × 31518
17 × 27810
18 × 26265
27 × 17510
30 × 15759
34 × 13905
45 × 10506
51 × 9270
54 × 8755
85 × 5562
90 × 5253
102 × 4635
103 × 4590
135 × 3502
153 × 3090
170 × 2781
206 × 2295
255 × 1854
270 × 1751
306 × 1545
309 × 1530
459 × 1030
510 × 927
515 × 918
618 × 765
First multiples
472,770 · 945,540 (double) · 1,418,310 · 1,891,080 · 2,363,850 · 2,836,620 · 3,309,390 · 3,782,160 · 4,254,930 · 4,727,700

Sums & aliquot sequence

As consecutive integers: 157,589 + 157,590 + 157,591 118,191 + 118,192 + 118,193 + 118,194 94,552 + 94,553 + 94,554 + 94,555 + 94,556 52,526 + 52,527 + … + 52,534
Aliquot sequence: 472,770 875,070 1,797,570 2,876,346 4,050,054 5,021,946 6,250,374 8,334,378 11,113,050 19,509,990 27,585,786 33,481,734 45,190,650 68,444,934 68,542,266 87,774,342 87,774,354 — unresolved within range

Continued fraction of √n

√472,770 = [687; (1, 1, 2, 1, 1, 10, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 152, 15, 2, 4, 40, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand seven hundred seventy
Ordinal
472770th
Binary
1110011011011000010
Octal
1633302
Hexadecimal
0x736C2
Base64
BzbC
One's complement
4,294,494,525 (32-bit)
Scientific notation
4.7277 × 10⁵
As a duration
472,770 s = 5 days, 11 hours, 19 minutes, 30 seconds
In other bases
ternary (3) 220000112000
quaternary (4) 1303123002
quinary (5) 110112040
senary (6) 14044430
septenary (7) 4006224
nonary (9) 800460
undecimal (11) 2a3221
duodecimal (12) 1a9716
tridecimal (13) 13725c
tetradecimal (14) c4414
pentadecimal (15) 95130

As an angle

472,770° = 1,313 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοβψοʹ
Chinese
四十七萬二千七百七十
Chinese (financial)
肆拾柒萬貳仟柒佰柒拾
In other modern scripts
Eastern Arabic ٤٧٢٧٧٠ Devanagari ४७२७७० Bengali ৪৭২৭৭০ Tamil ௪௭௨௭௭௦ Thai ๔๗๒๗๗๐ Tibetan ༤༧༢༧༧༠ Khmer ៤៧២៧៧០ Lao ໔໗໒໗໗໐ Burmese ၄၇၂၇၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472770, here are decompositions:

  • 7 + 472763 = 472770
  • 19 + 472751 = 472770
  • 29 + 472741 = 472770
  • 59 + 472711 = 472770
  • 61 + 472709 = 472770
  • 73 + 472697 = 472770
  • 79 + 472691 = 472770
  • 83 + 472687 = 472770

Showing the first eight; more decompositions exist.

Hex color
#0736C2
RGB(7, 54, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.194.

Address
0.7.54.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.194

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 472,770 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°.