Search a number
-
+
44079728 = 2471137967
BaseRepresentation
bin1010100000100…
…1101001110000
310001221111000112
42220021221300
542241022403
64212440452
71043446220
oct250115160
9101844015
1044079728
1122977830
1212919128
1391947a4
145bd6080
153d0a9d8
hex2a09a70

44079728 has 80 divisors (see below), whose sum is σ = 109469184. Its totient is φ = 16692480.

The previous prime is 44079727. The next prime is 44079731. The reversal of 44079728 is 82797044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44079727) 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, 45101 + ... + 46067.

Almost surely, 244079728 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 44079728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54734592).

44079728 is an abundant number, since it is smaller than the sum of its proper divisors (65389456).

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

44079728 is a wasteful number, since it uses less digits than its factorization.

44079728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 44079728 is about 6639.2565848896. The cubic root of 44079728 is about 353.2479379088.

The spelling of 44079728 in words is "forty-four million, seventy-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 967 1036 1232 1628 1934 2072 2849 3256 3868 4144 5698 6512 6769 7736 10637 11396 13538 15472 21274 22792 27076 35779 42548 45584 54152 71558 74459 85096 108304 143116 148918 170192 250453 286232 297836 393569 500906 572464 595672 787138 1001812 1191344 1574276 2003624 2754983 3148552 4007248 5509966 6297104 11019932 22039864 44079728