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472,248

472,248 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.).

472,248 (four hundred seventy-two thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 937. Its proper divisors sum to 991,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734B8.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,584
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
842,274
Square (n²)
223,018,173,504
Cube (n³)
105,319,886,400,916,992
Divisor count
48
σ(n) — sum of divisors
1,463,280
φ(n) — Euler's totient
134,784
Sum of prime factors
956

Primality

Prime factorization: 2 3 × 3 2 × 7 × 937

Nearest primes: 472,247 (−1) · 472,249 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 252 · 504 · 937 · 1874 · 2811 · 3748 · 5622 · 6559 · 7496 · 8433 · 11244 · 13118 · 16866 · 19677 · 22488 · 26236 · 33732 · 39354 · 52472 · 59031 · 67464 · 78708 · 118062 · 157416 · 236124 (half) · 472248
Aliquot sum (sum of proper divisors): 991,032
Factor pairs (a × b = 472,248)
1 × 472248
2 × 236124
3 × 157416
4 × 118062
6 × 78708
7 × 67464
8 × 59031
9 × 52472
12 × 39354
14 × 33732
18 × 26236
21 × 22488
24 × 19677
28 × 16866
36 × 13118
42 × 11244
56 × 8433
63 × 7496
72 × 6559
84 × 5622
126 × 3748
168 × 2811
252 × 1874
504 × 937
First multiples
472,248 · 944,496 (double) · 1,416,744 · 1,888,992 · 2,361,240 · 2,833,488 · 3,305,736 · 3,777,984 · 4,250,232 · 4,722,480

Sums & aliquot sequence

As consecutive integers: 157,415 + 157,416 + 157,417 67,461 + 67,462 + … + 67,467 52,468 + 52,469 + … + 52,476 29,508 + 29,509 + … + 29,523
Aliquot sequence: 472,248 991,032 2,015,688 3,023,592 5,866,968 8,800,512 17,984,064 36,400,384 36,258,706 24,705,134 13,214,506 6,789,434 3,723,334 1,884,674 1,199,374 763,274 381,640 — unresolved within range

Continued fraction of √n

√472,248 = [687; (4, 1, 12, 2, 2, 2, 5, 7, 1, 18, 4, 1, 2, 1, 3, 1, 2, 6, 1, 3, 4, 1, 2, 152, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand two hundred forty-eight
Ordinal
472248th
Binary
1110011010010111000
Octal
1632270
Hexadecimal
0x734B8
Base64
BzS4
One's complement
4,294,495,047 (32-bit)
Scientific notation
4.72248 × 10⁵
As a duration
472,248 s = 5 days, 11 hours, 10 minutes, 48 seconds
In other bases
ternary (3) 212222210200
quaternary (4) 1303102320
quinary (5) 110102443
senary (6) 14042200
septenary (7) 4004550
nonary (9) 788720
undecimal (11) 2a2897
duodecimal (12) 1a9360
tridecimal (13) 136c4a
tetradecimal (14) c4160
pentadecimal (15) 94dd3

As an angle

472,248° = 1,311 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβσμηʹ
Chinese
四十七萬二千二百四十八
Chinese (financial)
肆拾柒萬貳仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ٤٧٢٢٤٨ Devanagari ४७२२४८ Bengali ৪৭২২৪৮ Tamil ௪௭௨௨௪௮ Thai ๔๗๒๒๔๘ Tibetan ༤༧༢༢༤༨ Khmer ៤៧២២៤៨ Lao ໔໗໒໒໔໘ Burmese ၄၇၂၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472248, here are decompositions:

  • 59 + 472189 = 472248
  • 89 + 472159 = 472248
  • 97 + 472151 = 472248
  • 109 + 472139 = 472248
  • 137 + 472111 = 472248
  • 181 + 472067 = 472248
  • 191 + 472057 = 472248
  • 197 + 472051 = 472248

Showing the first eight; more decompositions exist.

Hex color
#0734B8
RGB(7, 52, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.184.

Address
0.7.52.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.184

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 472,248 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 472248 first appears in π at position 544,977 of the decimal expansion (the 544,977ordinal-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°.