Search a number
-
+
44418168 = 2332718689
BaseRepresentation
bin1010100101110…
…0010001111000
310002120200021100
42221130101320
542332340133
64224011400
71046356014
oct251342170
9102520240
1044418168
1123089033
1212a60b60
139282852
145c83544
153d75e13
hex2a5c478

44418168 has 48 divisors (see below), whose sum is σ = 122007600. Its totient is φ = 14595840.

The previous prime is 44418163. The next prime is 44418191. The reversal of 44418168 is 86181444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44418163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (2541825).

Almost surely, 244418168 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 44418168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61003800).

44418168 is an abundant number, since it is smaller than the sum of its proper divisors (77589432).

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

44418168 is a wasteful number, since it uses less digits than its factorization.

44418168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8765 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 44418168 is about 6664.6956419630. The cubic root of 44418168 is about 354.1497020771.

The spelling of 44418168 in words is "forty-four million, four hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 8689 17378 26067 34756 52134 69512 78201 104268 156402 208536 312804 616919 625608 1233838 1850757 2467676 3701514 4935352 5552271 7403028 11104542 14806056 22209084 44418168