513,828
513,828 is a composite number, even.
513,828 (five hundred thirteen thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 2,039. Its proper divisors sum to 971,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D724.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,920
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 828,315
- Square (n²)
- 264,019,213,584
- Cube (n³)
- 135,660,464,477,439,552
- Divisor count
- 36
- σ(n) — sum of divisors
- 1,485,120
- φ(n) — Euler's totient
- 146,736
- Sum of prime factors
- 2,056
Primality
Prime factorization: 2 2 × 3 2 × 7 × 2039
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,828 = [716; (1, 4, 2, 38, 3, 2, 2, 1, 1, 1, 2, 1, 3, 7, 6, 3, 1, 4, 4, 1, 1, 2, 2, 4, …)]
Representations
- In words
- five hundred thirteen thousand eight hundred twenty-eight
- Ordinal
- 513828th
- Binary
- 1111101011100100100
- Octal
- 1753444
- Hexadecimal
- 0x7D724
- Base64
- B9ck
- One's complement
- 4,294,453,467 (32-bit)
- Scientific notation
- 5.13828 × 10⁵
- As a duration
- 513,828 s = 5 days, 22 hours, 43 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγωκηʹ
- Chinese
- 五十一萬三千八百二十八
- Chinese (financial)
- 伍拾壹萬參仟捌佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513828, here are decompositions:
- 47 + 513781 = 513828
- 59 + 513769 = 513828
- 61 + 513767 = 513828
- 67 + 513761 = 513828
- 79 + 513749 = 513828
- 89 + 513739 = 513828
- 97 + 513731 = 513828
- 101 + 513727 = 513828
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.36.
- Address
- 0.7.215.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.215.36
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 513,828 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513828 first appears in π at position 669,005 of the decimal expansion (the 669,005ordinal-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°.