528,372
528,372 is a composite number, even.
528,372 (five hundred twenty-eight thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 1,129. Its proper divisors sum to 911,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x80FF4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 3,360
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 273,825
- Square (n²)
- 279,176,970,384
- Cube (n³)
- 147,509,294,195,734,848
- Divisor count
- 36
- σ(n) — sum of divisors
- 1,439,620
- φ(n) — Euler's totient
- 162,432
- Sum of prime factors
- 1,152
Primality
Prime factorization: 2 2 × 3 2 × 13 × 1129
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√528,372 = [726; (1, 8, 3, 1, 5, 4, 2, 2, 1, 11, 3, 3, 1, 1, 2, 1, 9, 2, 4, 5, 40, 5, 4, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-eight thousand three hundred seventy-two
- Ordinal
- 528372nd
- Binary
- 10000000111111110100
- Octal
- 2007764
- Hexadecimal
- 0x80FF4
- Base64
- CA/0
- One's complement
- 4,294,438,923 (32-bit)
- Scientific notation
- 5.28372 × 10⁵
- As a duration
- 528,372 s = 6 days, 2 hours, 46 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φκητοβʹ
- Chinese
- 五十二萬八千三百七十二
- Chinese (financial)
- 伍拾貳萬捌仟參佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 528372, here are decompositions:
- 43 + 528329 = 528372
- 59 + 528313 = 528372
- 73 + 528299 = 528372
- 83 + 528289 = 528372
- 109 + 528263 = 528372
- 149 + 528223 = 528372
- 181 + 528191 = 528372
- 241 + 528131 = 528372
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.15.244.
- Address
- 0.8.15.244
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.15.244
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 528,372 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 528372 first appears in π at position 294,660 of the decimal expansion (the 294,660ordinal-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°.