45772

45772 is a natural number that lies between 45771 and 45773. In decimal notation it is written as 45772, and it has several simple representations in other bases: in binary it is 1011001011001100 and in hexadecimal it is B2CC (0xB2CC).

The prime factorization of 45772 is 2^2 × 11443, since 45772 = 4 × 11443 and 11443 is a prime number. Consequently, its positive divisors are 1, 2, 4, 11443, 22886, and 45772 (six divisors in total). The sum of its digits is 4 + 5 + 7 + 7 + 2 = 25, so the number is not divisible by 3 or 9. It is an even number and, because the sum of its proper divisors (1 + 2 + 4 + 11443 + 22886 = 34336) is less than 45772, 45772 is classified as a deficient number.

In modular arithmetic, 45772 is congruent to 1 modulo 3 and congruent to 7 modulo 9. It is also divisible by 4, since 45772 ÷ 4 = 11443.

In a broader context, 45772 serves as an ordinary example of a composite, even integer and can appear in various numerical datasets or identifiers. However, it does not carry a widely recognized mathematical or cultural significance beyond its standard numeric properties.

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