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33,554,432

33,554,432 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.).

33,554,432 (thirty-three million five hundred fifty-four thousand four hundred thirty-two) is an even 8-digit number. It is a composite number with 26 divisors, and factors as 2²⁵. It is a power of two (2²⁵). Written other ways, in hexadecimal, 0x2000000.

Deficient Number Frugal Number Gapful Number Leyland Number Odious Number Power of Two Powerful Number Practical Number

Interestingness

Properties

Parity
Even
Digit count
8
Digit sum
29
Digit product
21,600
Digital root
2
Palindrome
No
Bit width
26 bits
Reversed
23,445,533
Square (n²)
1,125,899,906,842,624
Divisor count
26
σ(n) — sum of divisors
67,108,863
φ(n) — Euler's totient
16,777,216
Sum of prime factors
50

Primality

Prime factorization: 2 25

Nearest primes: 33,554,393 (−39) · 33,554,467 (+35)

Divisors & multiples

All divisors (26)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 1024 · 2048 · 4096 · 8192 · 16384 · 32768 · 65536 · 131072 · 262144 · 524288 · 1048576 · 2097152 · 4194304 · 8388608 · 16777216 (half) · 33554432
Aliquot sum (sum of proper divisors): 33,554,431
Factor pairs (a × b = 33,554,432)
1 × 33554432
2 × 16777216
4 × 8388608
8 × 4194304
16 × 2097152
32 × 1048576
64 × 524288
128 × 262144
256 × 131072
512 × 65536
1024 × 32768
2048 × 16384
4096 × 8192
First multiples
33,554,432 · 67,108,864 (double) · 100,663,296 · 134,217,728 · 167,772,160 · 201,326,592 · 234,881,024 · 268,435,456 · 301,989,888 · 335,544,320

Sums & aliquot sequence

As a sum of two squares: 4,096² + 4,096²
As a sum of two cubes: 256³ + 256³
Aliquot sequence: 33,554,432 33,554,431 1,159,297 2,243 1 0 — terminates at zero

Continued fraction of √n

√33,554,432 = [5792; (1, 1, 1, 1, 1, 1, 1, 7, 26, 3, 1, 6, 2, 1, 12, 28, 1, 4, 3, 7, 1, 3, 2, 1, …)]

Representations

In words
thirty-three million five hundred fifty-four thousand four hundred thirty-two
Ordinal
33554432nd
Binary
10000000000000000000000000
Octal
200000000
Hexadecimal
0x2000000
Base64
AgAAAA==
One's complement
4,261,412,863 (32-bit)
Scientific notation
3.3554432 × 10⁷
As a duration
33,554,432 s = 1 year, 23 days, 8 hours, 40 minutes, 32 seconds
In other bases
ternary (3) 2100010202000202
quaternary (4) 2000000000000
quinary (5) 32042220212
senary (6) 3155104332
septenary (7) 555131222
nonary (9) 70122022
undecimal (11) 17a38a3a
duodecimal (12) b2a20a8
tridecimal (13) 6c4aac2
tetradecimal (14) 4656412
pentadecimal (15) 2e2c0c2

As an angle

33,554,432° = 93,206 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Chinese
三千三百五十五萬四千四百三十二
Chinese (financial)
參仟參佰伍拾伍萬肆仟肆佰參拾貳
In other modern scripts
Eastern Arabic ٣٣٥٥٤٤٣٢ Devanagari ३३५५४४३२ Bengali ৩৩৫৫৪৪৩২ Tamil ௩௩௫௫௪௪௩௨ Thai ๓๓๕๕๔๔๓๒ Tibetan ༣༣༥༥༤༤༣༢ Khmer ៣៣៥៥៤៤៣២ Lao ໓໓໕໕໔໔໓໒ Burmese ၃၃၅၅၄၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33554432, here are decompositions:

  • 61 + 33554371 = 33554432
  • 193 + 33554239 = 33554432
  • 211 + 33554221 = 33554432
  • 349 + 33554083 = 33554432
  • 421 + 33554011 = 33554432
  • 433 + 33553999 = 33554432
  • 463 + 33553969 = 33554432
  • 523 + 33553909 = 33554432

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 2.0.0.0.

Address
2.0.0.0
Class
public
IPv4-mapped IPv6
::ffff:2.0.0.0

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