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44388 = 2234137
BaseRepresentation
bin1010110101100100
32020220000
422311210
52410023
6541300
7243261
oct126544
966800
1044388
1130393
1221830
1317286
1412268
15d243
hexad64

44388 has 30 divisors (see below), whose sum is σ = 116886. Its totient is φ = 14688.

The previous prime is 44383. The next prime is 44389. The reversal of 44388 is 88344.

44388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 5184 = 198^2 + 72^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44388.

It is not an unprimeable number, because it can be changed into a prime (44381) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 256 + ... + 392.

244388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58443).

44388 is an abundant number, since it is smaller than the sum of its proper divisors (72498).

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

44388 is a wasteful number, since it uses less digits than its factorization.

44388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 44388 is about 210.6845983930. The cubic root of 44388 is about 35.4069506605.

Subtracting 44388 from its reverse (88344), we obtain a triangular number (43956 = T296).

The spelling of 44388 in words is "forty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 22194 44388