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786 (number)

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786 is the integer coming after 785 and before 787.

Template:Numbers 0-1000
CardinalSeven hundred eighty-six
Ordinal786th
Factorization 2 ⋅ 3 ⋅ 131 {\displaystyle 2\cdot 3\cdot 131}
Roman numeralDCCLXXXVI
Binary1100010010
Hexadecimal312

In mathematics

786 is a sphenic number. 50 can be partitioned into powers of two in 786 different ways (sequence A000123 in the OEIS).

786 might be the largest n for which the value of the central binomial coefficient 2 n C n {\displaystyle {}_{2n}\!C_{n}} is not divisible by an odd prime squared. If there is a larger such number, it would have to be at least 157450 (see OEIS: A059097).

In astronomy

In the New General Catalogue, NGC786 is a magnitude 13.5 spiral galaxy in the constellation Aries. Additionally, 786 Bredichina is an asteroid.

In religion

The Arabic letters of the opening phrase of the Qur'an (the Basmala phrase Bismillah al-Rahman al-Rahim "In the name of God, the Compassionate and Merciful") sum to the numerical value 786 in the system of Abjad numerals. Not all Muslims place emphasis on this numerological analysis, but some Muslims in South Asia use the number 786 as an Islamic symbol, and some Muslim scholars and groups (such as the "Qur'an-only" Submitters) consider it to be religiously significant.

Area code

786 is an area code in the Florida Keys. As an overlay area code, it shares geography with other codes in order to increase the area's pool of usable numbers, bringing ten-digit dialing to the Florida Keys. What is interesting is that Florida is the Sunshine State, and that 786 spells out Sun on the telephone keypad.

See also

External links

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