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44385 = 3511269
BaseRepresentation
bin1010110101100001
32020212220
422311201
52410020
6541253
7243255
oct126541
966786
1044385
1130390
1221829
1317283
1412265
15d240
hexad61

44385 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 21440.

The previous prime is 44383. The next prime is 44389. The reversal of 44385 is 58344.

It is a happy number.

44385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44385 - 21 = 44383 is a prime.

It is a Curzon number.

44385 is a lucky number.

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 15 ways as a sum of consecutive naturals, for example, 31 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

244385 is an apocalyptic number.

It is an amenable number.

44385 is a deficient number, since it is larger than the sum of its proper divisors (33375).

44385 is a wasteful number, since it uses less digits than its factorization.

44385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 1920, while the sum is 24.

The square root of 44385 is about 210.6774786255. The cubic root of 44385 is about 35.4061529731.

It can be divided in two parts, 443 and 85, that added together give a triangular number (528 = T32).

The spelling of 44385 in words is "forty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 11 15 33 55 165 269 807 1345 2959 4035 8877 14795 44385