Search a number
-
+
44413424 = 24111271987
BaseRepresentation
bin1010100101101…
…1000111110000
310002120102202122
42221123013300
542332212144
64223533412
71046336126
oct251330760
9102512678
1044413424
1123085510
1212a5a268
139280643
145c81916
153d747ee
hex2a5b1f0

44413424 has 40 divisors (see below), whose sum is σ = 94660608. Its totient is φ = 20018880.

The previous prime is 44413409. The next prime is 44413427. The reversal of 44413424 is 42431444.

It is a happy number.

44413424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44413393 and 44413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44413427) 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 7 ways as a sum of consecutive naturals, for example, 21359 + ... + 23345.

Almost surely, 244413424 is an apocalyptic number.

44413424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330304).

44413424 is an abundant number, since it is smaller than the sum of its proper divisors (50247184).

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

44413424 is a wasteful number, since it uses less digits than its factorization.

44413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 44413424 is about 6664.3397272348. The cubic root of 44413424 is about 354.1370935276.

Adding to 44413424 its reverse (42431444), we get a palindrome (86844868).

The spelling of 44413424 in words is "forty-four million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 1987 2032 2794 3974 5588 7948 11176 15896 21857 22352 31792 43714 87428 174856 252349 349712 504698 1009396 2018792 2775839 4037584 5551678 11103356 22206712 44413424