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44484 = 22311337
BaseRepresentation
bin1010110111000100
32021000120
422313010
52410414
6541540
7243456
oct126704
967016
1044484
1130470
12218b0
131732b
14122d6
15d2a9
hexadc4

44484 has 24 divisors (see below), whose sum is σ = 113568. Its totient is φ = 13440.

The previous prime is 44483. The next prime is 44491. The reversal of 44484 is 48444.

44484 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

244484 is an apocalyptic number.

44484 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 44484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56784).

44484 is an abundant number, since it is smaller than the sum of its proper divisors (69084).

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

44484 is a wasteful number, since it uses less digits than its factorization.

44484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 44484 is about 210.9123040508. The cubic root of 44484 is about 35.4324577026.

Subtracting from 44484 its product of digits (2048), we obtain a square (42436 = 2062).

It can be divided in two parts, 444 and 84, that added together give a triangular number (528 = T32).

The spelling of 44484 in words is "forty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 7414 11121 14828 22242 44484