538,440
538,440 is a composite number, even.
538,440 (five hundred thirty-eight thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 641. Its proper divisors sum to 1,310,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x83748.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 44,835
- Square (n²)
- 289,917,633,600
- Cube (n³)
- 156,103,250,635,584,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,848,960
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 662
Primality
Prime factorization: 2 3 × 3 × 5 × 7 × 641
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√538,440 = [733; (1, 3, 1, 1, 1, 4, 2, 3, 2, 1, 3, 2, 2, 1, 8, 1, 1, 11, 1, 1, 1, 1, 25, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirty-eight thousand four hundred forty
- Ordinal
- 538440th
- Binary
- 10000011011101001000
- Octal
- 2033510
- Hexadecimal
- 0x83748
- Base64
- CDdI
- One's complement
- 4,294,428,855 (32-bit)
- Scientific notation
- 5.3844 × 10⁵
- As a duration
- 538,440 s = 6 days, 5 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φληυμʹ
- Chinese
- 五十三萬八千四百四十
- Chinese (financial)
- 伍拾參萬捌仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 538440, here are decompositions:
- 17 + 538423 = 538440
- 29 + 538411 = 538440
- 41 + 538399 = 538440
- 43 + 538397 = 538440
- 73 + 538367 = 538440
- 83 + 538357 = 538440
- 107 + 538333 = 538440
- 109 + 538331 = 538440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.55.72.
- Address
- 0.8.55.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.55.72
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 538,440 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 538440 first appears in π at position 302,447 of the decimal expansion (the 302,447ordinal-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°.