Search a number
-
+
44418144 = 2531721601
BaseRepresentation
bin1010100101110…
…0010001100000
310002120200020110
42221130101200
542332340034
64224011320
71046355651
oct251342140
9102520213
1044418144
1123089011
1212a60b40
139282834
145c83528
153d75de9
hex2a5c460

44418144 has 72 divisors (see below), whose sum is σ = 123937128. Its totient is φ = 13926400.

The previous prime is 44418139. The next prime is 44418151. The reversal of 44418144 is 44181444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26944 + ... + 28544.

It is an arithmetic number, because the mean of its divisors is an integer number (1721349).

Almost surely, 244418144 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 44418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61968564).

44418144 is an abundant number, since it is smaller than the sum of its proper divisors (79518984).

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

44418144 is a wasteful number, since it uses less digits than its factorization.

44418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1623 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 44418144 is about 6664.6938414304. The cubic root of 44418144 is about 354.1496382924.

Adding to 44418144 its reverse (44181444), we get a palindrome (88599588).

The spelling of 44418144 in words is "forty-four million, four hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1601 1632 1734 2312 3202 3468 4624 4803 6404 6936 9248 9606 12808 13872 19212 25616 27217 27744 38424 51232 54434 76848 81651 108868 153696 163302 217736 326604 435472 462689 653208 870944 925378 1306416 1388067 1850756 2612832 2776134 3701512 5552268 7403024 11104536 14806048 22209072 44418144