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5763 = 317113
BaseRepresentation
bin1011010000011
321220110
41122003
5141023
642403
722542
oct13203
97813
105763
11436a
123403
132814
142159
151a93
hex1683

5763 has 8 divisors (see below), whose sum is σ = 8208. Its totient is φ = 3584.

The previous prime is 5749. The next prime is 5779. The reversal of 5763 is 3675.

It can be divided in two parts, 576 and 3, that multiplied together give a cube (1728 = 123).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5763 - 28 = 5507 is a prime.

5763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

5763 is a deficient number, since it is larger than the sum of its proper divisors (2445).

5763 is a wasteful number, since it uses less digits than its factorization.

5763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its digits is 630, while the sum is 21.

The square root of 5763 is about 75.9144255066. The cubic root of 5763 is about 17.9287305327.

The spelling of 5763 in words is "five thousand, seven hundred sixty-three".

Divisors: 1 3 17 51 113 339 1921 5763