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4753 = 7297
BaseRepresentation
bin1001010010001
320112001
41022101
5123003
634001
716600
oct11221
96461
104753
113631
122901
132218
141a37
15161d
hex1291

4753 has 6 divisors (see below), whose sum is σ = 5586. Its totient is φ = 4032.

The previous prime is 4751. The next prime is 4759. The reversal of 4753 is 3574.

4753 is a nontrivial binomial coefficient, being equal to C(98, 2).

It can be written as a sum of positive squares in only one way, i.e., 3969 + 784 = 63^2 + 28^2 .

It is not a de Polignac number, because 4753 - 21 = 4751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4753.

It is not an unprimeable number, because it can be changed into a prime (4751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

24753 is an apocalyptic number.

4753 is the 97-th triangular number and also the 49-th hexagonal number.

4753 is the 33-rd centered nonagonal number.

It is an amenable number.

4753 is a deficient number, since it is larger than the sum of its proper divisors (833).

4753 is an equidigital number, since it uses as much as digits as its factorization.

4753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 104 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 4753 is about 68.9420046126. The cubic root of 4753 is about 16.8134152107.

It can be divided in two parts, 47 and 53, that added together give a square (100 = 102).

The spelling of 4753 in words is "four thousand, seven hundred fifty-three".

Divisors: 1 7 49 97 679 4753