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5729 = 17337
BaseRepresentation
bin1011001100001
321212012
41121201
5140404
642305
722463
oct13141
97765
105729
114339
123395
1327b9
142133
151a6e
hex1661

5729 has 4 divisors (see below), whose sum is σ = 6084. Its totient is φ = 5376.

The previous prime is 5717. The next prime is 5737. The reversal of 5729 is 9275.

5729 = T17 + T18 + ... + T33.

5729 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3025 + 2704 = 55^2 + 52^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5729 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (1521).

25729 is an apocalyptic number.

It is an amenable number.

5729 is a deficient number, since it is larger than the sum of its proper divisors (355).

5729 is a wasteful number, since it uses less digits than its factorization.

5729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 630, while the sum is 23.

The square root of 5729 is about 75.6901578807. The cubic root of 5729 is about 17.8934028933.

It can be divided in two parts, 57 and 29, that multiplied together give a triangular number (1653 = T57).

The spelling of 5729 in words is "five thousand, seven hundred twenty-nine".

Divisors: 1 17 337 5729