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474,048

474,048 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.).

474,048 (four hundred seventy-four thousand forty-eight) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 823. Its proper divisors sum to 886,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73BC0.

Abundant Number Evil Number Gapful Number 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
840,474
Square (n²)
224,721,506,304
Cube (n³)
106,528,780,620,398,592
Divisor count
42
σ(n) — sum of divisors
1,360,424
φ(n) — Euler's totient
157,824
Sum of prime factors
841

Primality

Prime factorization: 2 6 × 3 2 × 823

Nearest primes: 474,043 (−5) · 474,049 (+1)

Divisors & multiples

All divisors (42)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 823 · 1646 · 2469 · 3292 · 4938 · 6584 · 7407 · 9876 · 13168 · 14814 · 19752 · 26336 · 29628 · 39504 · 52672 · 59256 · 79008 · 118512 · 158016 · 237024 (half) · 474048
Aliquot sum (sum of proper divisors): 886,376
Factor pairs (a × b = 474,048)
1 × 474048
2 × 237024
3 × 158016
4 × 118512
6 × 79008
8 × 59256
9 × 52672
12 × 39504
16 × 29628
18 × 26336
24 × 19752
32 × 14814
36 × 13168
48 × 9876
64 × 7407
72 × 6584
96 × 4938
144 × 3292
192 × 2469
288 × 1646
576 × 823
First multiples
474,048 · 948,096 (double) · 1,422,144 · 1,896,192 · 2,370,240 · 2,844,288 · 3,318,336 · 3,792,384 · 4,266,432 · 4,740,480

Sums & aliquot sequence

As consecutive integers: 158,015 + 158,016 + 158,017 52,668 + 52,669 + … + 52,676 3,640 + 3,641 + … + 3,767 1,043 + 1,044 + … + 1,426
Aliquot sequence: 474,048 886,376 793,564 595,180 654,740 793,420 872,804 760,156 593,084 460,780 506,900 631,048 690,872 934,168 893,912 870,688 1,342,880 — unresolved within range

Continued fraction of √n

√474,048 = [688; (1, 1, 21, 2, 1, 3, 1, 27, 3, 6, 3, 2, 3, 2, 28, 1, 6, 4, 9, 2, 1, 1, 2, 1, …)]

Representations

In words
four hundred seventy-four thousand forty-eight
Ordinal
474048th
Binary
1110011101111000000
Octal
1635700
Hexadecimal
0x73BC0
Base64
BzvA
One's complement
4,294,493,247 (32-bit)
Scientific notation
4.74048 × 10⁵
As a duration
474,048 s = 5 days, 11 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 220002021100
quaternary (4) 1303233000
quinary (5) 110132143
senary (6) 14054400
septenary (7) 4013031
nonary (9) 802240
undecimal (11) 2a4183
duodecimal (12) 1aa400
tridecimal (13) 137a03
tetradecimal (14) c4a88
pentadecimal (15) 956d3

As an angle

474,048° = 1,316 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδμηʹ
Chinese
四十七萬四千零四十八
Chinese (financial)
肆拾柒萬肆仟零肆拾捌
In other modern scripts
Eastern Arabic ٤٧٤٠٤٨ Devanagari ४७४०४८ Bengali ৪৭৪০৪৮ Tamil ௪௭௪௦௪௮ Thai ๔๗๔๐๔๘ Tibetan ༤༧༤༠༤༨ Khmer ៤៧៤០៤៨ Lao ໔໗໔໐໔໘ Burmese ၄၇၄၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474048, here are decompositions:

  • 5 + 474043 = 474048
  • 11 + 474037 = 474048
  • 19 + 474029 = 474048
  • 31 + 474017 = 474048
  • 61 + 473987 = 474048
  • 67 + 473981 = 474048
  • 97 + 473951 = 474048
  • 109 + 473939 = 474048

Showing the first eight; more decompositions exist.

Hex color
#073BC0
RGB(7, 59, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.192.

Address
0.7.59.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.192

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 474,048 and was likely granted around 1892.

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

Position in π

The digit sequence 474048 first appears in π at position 98,490 of the decimal expansion (the 98,490ordinal-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°.