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4884 = 2231137
BaseRepresentation
bin1001100010100
320200220
41030110
5124014
634340
720145
oct11424
96626
104884
113740
1229b0
1322b9
141acc
1516a9
hex1314

4884 has 24 divisors (see below), whose sum is σ = 12768. Its totient is φ = 1440.

The previous prime is 4877. The next prime is 4889.

It can be divided in two parts, 4 and 884, that added together give a palindrome (888).

4884 is nontrivially palindromic in base 10.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889) by changing a digit.

4884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 114 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

24884 is an apocalyptic number.

4884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384).

4884 is an abundant number, since it is smaller than the sum of its proper divisors (7884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4884 is a wasteful number, since it uses less digits than its factorization.

4884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4884 is about 69.8856208386. The cubic root of 4884 is about 16.9664852972.

The spelling of 4884 in words is "four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884