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33,554,742

33,554,742 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.).

33,554,742 (thirty-three million five hundred fifty-four thousand seven hundred forty-two) is an even 8-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 13 × 71 × 73 × 83. Its proper divisors sum to 41,633,994, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2000136.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
8
Digit sum
33
Digit product
50,400
Digital root
6
Palindrome
No
Bit width
26 bits
Reversed
24,745,533
Square (n²)
1,125,920,710,686,564
Divisor count
64
σ(n) — sum of divisors
75,188,736
φ(n) — Euler's totient
9,918,720
Sum of prime factors
245

Primality

Prime factorization: 2 × 3 × 13 × 71 × 73 × 83

Nearest primes: 33,554,737 (−5) · 33,554,743 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 71 · 73 · 78 · 83 · 142 · 146 · 166 · 213 · 219 · 249 · 426 · 438 · 498 · 923 · 949 · 1079 · 1846 · 1898 · 2158 · 2769 · 2847 · 3237 · 5183 · 5538 · 5694 · 5893 · 6059 · 6474 · 10366 · 11786 · 12118 · 15549 · 17679 · 18177 · 31098 · 35358 · 36354 · 67379 · 76609 · 78767 · 134758 · 153218 · 157534 · 202137 · 229827 · 236301 · 404274 · 430189 · 459654 · 472602 · 860378 · 1290567 · 2581134 · 5592457 · 11184914 · 16777371 (half) · 33554742
Aliquot sum (sum of proper divisors): 41,633,994
Factor pairs (a × b = 33,554,742)
1 × 33554742
2 × 16777371
3 × 11184914
6 × 5592457
13 × 2581134
26 × 1290567
39 × 860378
71 × 472602
73 × 459654
78 × 430189
83 × 404274
142 × 236301
146 × 229827
166 × 202137
213 × 157534
219 × 153218
249 × 134758
426 × 78767
438 × 76609
498 × 67379
923 × 36354
949 × 35358
1079 × 31098
1846 × 18177
1898 × 17679
2158 × 15549
2769 × 12118
2847 × 11786
3237 × 10366
5183 × 6474
5538 × 6059
5694 × 5893
First multiples
33,554,742 · 67,109,484 (double) · 100,664,226 · 134,218,968 · 167,773,710 · 201,328,452 · 234,883,194 · 268,437,936 · 301,992,678 · 335,547,420

Sums & aliquot sequence

As consecutive integers: 11,184,913 + 11,184,914 + 11,184,915 8,388,684 + 8,388,685 + 8,388,686 + 8,388,687 2,796,223 + 2,796,224 + … + 2,796,234 2,581,128 + 2,581,129 + … + 2,581,140
Aliquot sequence: 33,554,742 41,633,994 41,634,006 41,738,538 43,979,478 44,050,218 44,122,038 49,313,082 75,404,742 101,610,810 205,723,386 280,532,358 327,287,790 571,581,522 776,600,478 906,033,930 1,270,136,694 — unresolved within range

Continued fraction of √n

√33,554,742 = [5792; (1, 1, 1, 4, 1, 1, 2, 2, 3, 1, 1, 1, 1, 20, 1, 1, 3, 11, 1, 3, 2, 1, 3, 3, …)]

Representations

In words
thirty-three million five hundred fifty-four thousand seven hundred forty-two
Ordinal
33554742nd
Binary
10000000000000000100110110
Octal
200000466
Hexadecimal
0x2000136
Base64
AgABNg==
One's complement
4,261,412,553 (32-bit)
Scientific notation
3.3554742 × 10⁷
As a duration
33,554,742 s = 1 year, 23 days, 8 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 2100010202110020
quaternary (4) 2000000010312
quinary (5) 32042222432
senary (6) 3155110010
septenary (7) 555132144
nonary (9) 70122406
undecimal (11) 17a391a1
duodecimal (12) b2a2306
tridecimal (13) 6c4aca0
tetradecimal (14) 4656594
pentadecimal (15) 2e2c22c

As an angle

33,554,742° = 93,207 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Chinese
三千三百五十五萬四千七百四十二
Chinese (financial)
參仟參佰伍拾伍萬肆仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ٣٣٥٥٤٧٤٢ Devanagari ३३५५४७४२ Bengali ৩৩৫৫৪৭৪২ Tamil ௩௩௫௫௪௭௪௨ Thai ๓๓๕๕๔๗๔๒ Tibetan ༣༣༥༥༤༧༤༢ Khmer ៣៣៥៥៤៧៤២ Lao ໓໓໕໕໔໗໔໒ Burmese ၃၃၅၅၄၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33554742, here are decompositions:

  • 5 + 33554737 = 33554742
  • 43 + 33554699 = 33554742
  • 101 + 33554641 = 33554742
  • 103 + 33554639 = 33554742
  • 149 + 33554593 = 33554742
  • 163 + 33554579 = 33554742
  • 223 + 33554519 = 33554742
  • 233 + 33554509 = 33554742

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 2.0.1.54.

Address
2.0.1.54
Class
public
IPv4-mapped IPv6
::ffff:2.0.1.54

Public, routable address (assignable to a host on the internet).