Search a number
-
+
44468046 = 23271392539
BaseRepresentation
bin1010100110100…
…0011101001110
310002200012200200
42221220131032
542340434141
64225034330
71046654310
oct251503516
9102605620
1044468046
1123112557
1212a859a6
13929c46c
145c977b0
153d85ab6
hex2a6874e

44468046 has 48 divisors (see below), whose sum is σ = 110947200. Its totient is φ = 12608784.

The previous prime is 44468041. The next prime is 44468059. The reversal of 44468046 is 64086444.

44468046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44468046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44468041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16245 + ... + 18783.

It is an arithmetic number, because the mean of its divisors is an integer number (2311400).

Almost surely, 244468046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44468046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

44468046 is an abundant number, since it is smaller than the sum of its proper divisors (66479154).

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

44468046 is a wasteful number, since it uses less digits than its factorization.

44468046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44468046 is about 6668.4365483972. The cubic root of 44468046 is about 354.2822129535.

The spelling of 44468046 in words is "forty-four million, four hundred sixty-eight thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2539 2919 5078 5838 7617 8757 15234 17514 17773 22851 35546 45702 53319 106638 159957 319914 352921 705842 1058763 2117526 2470447 3176289 4940894 6352578 7411341 14822682 22234023 44468046