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5775 = 352711
BaseRepresentation
bin1011010001111
321220220
41122033
5141100
642423
722560
oct13217
97826
105775
114380
123413
132823
142167
151aa0
hex168f

5775 has 24 divisors (see below), whose sum is σ = 11904. Its totient is φ = 2400.

The previous prime is 5749. The next prime is 5779.

It can be divided in two parts, 5 and 775, that added together give a triangular number (780 = T39).

5775 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 762-1.

Together with 6128 it forms a betrothed pair.

It is not a de Polignac number, because 5775 - 25 = 5743 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (496).

25775 is an apocalyptic number.

5775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5775 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952).

5775 is a wasteful number, since it uses less digits than its factorization.

5775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 26 counting only the distinct ones).

The product of its digits is 1225, while the sum is 24.

The square root of 5775 is about 75.9934207679. The cubic root of 5775 is about 17.9411659316.

The spelling of 5775 in words is "five thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775