4758

4758 is a natural number that follows 4757 and precedes 4759. It is even and composite, with prime factorization 2 × 3 × 13 × 61. Because it is the product of four distinct primes, 4758 is squarefree and has 16 positive divisors: 1, 2, 3, 6, 13, 26, 39, 78, 61, 122, 183, 366, 793, 1586, 2379, 4758.

In simple equalities, 4758 = 78 × 61 and can be represented in various numeral systems as follows: in binary it is 1001010010110, in hexadecimal it is 0x1296, and in Roman numerals it can be written as MMMMDCCLVIII (four Ms, D, CC, L, and VIII).

From a number-theoretic perspective, the sum of all positive divisors of 4758 is 10416, so the sum of its proper divisors is 5658. Since this exceeds 4758, the number is classified as abundant. Its digits sum to 24, giving a digital root of 6. Because 4758 is divisible by 2 and by 3, it is divisible by 6 as well, and by various products of its prime factors (for example 78, 122, 183, 793, and 4758 itself).

Overall, 4758 is primarily notable as a squarefree, abundant composite number with the divisor structure and representations described above, rather than for any widely recognized named properties or applications.