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149,472

149,472 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.).

149,472 (one hundred forty-nine thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3³ × 173. Its proper divisors sum to 289,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x247E0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
274,941
Square (n²)
22,341,878,784
Cube (n³)
3,339,485,305,602,048
Divisor count
48
σ(n) — sum of divisors
438,480
φ(n) — Euler's totient
49,536
Sum of prime factors
192

Primality

Prime factorization: 2 5 × 3 3 × 173

Nearest primes: 149,459 (−13) · 149,489 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 72 · 96 · 108 · 144 · 173 · 216 · 288 · 346 · 432 · 519 · 692 · 864 · 1038 · 1384 · 1557 · 2076 · 2768 · 3114 · 4152 · 4671 · 5536 · 6228 · 8304 · 9342 · 12456 · 16608 · 18684 · 24912 · 37368 · 49824 · 74736 (half) · 149472
Aliquot sum (sum of proper divisors): 289,008
Factor pairs (a × b = 149,472)
1 × 149472
2 × 74736
3 × 49824
4 × 37368
6 × 24912
8 × 18684
9 × 16608
12 × 12456
16 × 9342
18 × 8304
24 × 6228
27 × 5536
32 × 4671
36 × 4152
48 × 3114
54 × 2768
72 × 2076
96 × 1557
108 × 1384
144 × 1038
173 × 864
216 × 692
288 × 519
346 × 432
First multiples
149,472 · 298,944 (double) · 448,416 · 597,888 · 747,360 · 896,832 · 1,046,304 · 1,195,776 · 1,345,248 · 1,494,720

Sums & aliquot sequence

As consecutive integers: 49,823 + 49,824 + 49,825 16,604 + 16,605 + … + 16,612 5,523 + 5,524 + … + 5,549 2,304 + 2,305 + … + 2,367
Aliquot sequence: 149,472 289,008 551,216 540,976 507,196 450,404 337,810 351,662 206,914 103,460 145,180 229,796 247,324 303,828 506,604 889,364 968,044 — unresolved within range

Continued fraction of √n

√149,472 = [386; (1, 1, 1, 1, 1, 1, 7, 1, 3, 1, 2, 1, 15, 1, 2, 1, 1, 20, 1, 9, 1, 1, 1, 3, …)]

Representations

In words
one hundred forty-nine thousand four hundred seventy-two
Ordinal
149472nd
Binary
100100011111100000
Octal
443740
Hexadecimal
0x247E0
Base64
Akfg
One's complement
4,294,817,823 (32-bit)
Scientific notation
1.49472 × 10⁵
As a duration
149,472 s = 1 day, 17 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 21121001000
quaternary (4) 210133200
quinary (5) 14240342
senary (6) 3112000
septenary (7) 1161531
nonary (9) 247030
undecimal (11) a2334
duodecimal (12) 72600
tridecimal (13) 5305b
tetradecimal (14) 3c688
pentadecimal (15) 2e44c

As an angle

149,472° = 415 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμθυοβʹ
Mayan (base 20)
𝋲·𝋭·𝋭·𝋬
Chinese
一十四萬九千四百七十二
Chinese (financial)
壹拾肆萬玖仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٩٤٧٢ Devanagari १४९४७२ Bengali ১৪৯৪৭২ Tamil ௧௪௯௪௭௨ Thai ๑๔๙๔๗๒ Tibetan ༡༤༩༤༧༢ Khmer ១៤៩៤៧២ Lao ໑໔໙໔໗໒ Burmese ၁၄၉၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149472, here are decompositions:

  • 13 + 149459 = 149472
  • 31 + 149441 = 149472
  • 53 + 149419 = 149472
  • 61 + 149411 = 149472
  • 73 + 149399 = 149472
  • 79 + 149393 = 149472
  • 101 + 149371 = 149472
  • 131 + 149341 = 149472

Showing the first eight; more decompositions exist.

Unicode codepoint
𤟠
CJK Unified Ideograph-247E0
U+247E0
Other letter (Lo)

UTF-8 encoding: F0 A4 9F A0 (4 bytes).

Hex color
#0247E0
RGB(2, 71, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.71.224.

Address
0.2.71.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.71.224

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 149,472 and was likely granted around 1873.

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

Position in π

The digit sequence 149472 first appears in π at position 253,677 of the decimal expansion (the 253,677ordinal-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°.