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5746 = 213217
BaseRepresentation
bin1011001110010
321212211
41121302
5140441
642334
722516
oct13162
97784
105746
114354
1233aa
132800
142146
151a81
hex1672

5746 has 12 divisors (see below), whose sum is σ = 9882. Its totient is φ = 2496.

The previous prime is 5743. The next prime is 5749. The reversal of 5746 is 6475.

Adding to 5746 its reverse (6475), we get a palindrome (12221).

Subtracting 5746 from its reverse (6475), we obtain a 6-th power (729 = 36).

5746 = T23 + T24 + ... + T35.

It is an interprime number because it is at equal distance from previous prime (5743) and next prime (5749).

It can be written as a sum of positive squares in 3 ways, for example, as 3721 + 2025 = 61^2 + 45^2 .

It is a d-powerful number, because it can be written as 55 + 4 + 74 + 63 .

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330 + ... + 346.

25746 is an apocalyptic number.

5746 is a deficient number, since it is larger than the sum of its proper divisors (4136).

5746 is a wasteful number, since it uses less digits than its factorization.

5746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 32 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 5746 is about 75.8023746330. The cubic root of 5746 is about 17.9110841330.

The spelling of 5746 in words is "five thousand, seven hundred forty-six".

Divisors: 1 2 13 17 26 34 169 221 338 442 2873 5746