Search a number
-
+
44296928 = 251328191
BaseRepresentation
bin1010100011111…
…0101011100000
310002100111221222
42220332223200
542320000203
64221234212
71045342364
oct250765340
9102314858
1044296928
1123005a35
1212a02968
13923c600
145c512a4
153d50038
hex2a3eae0

44296928 has 36 divisors (see below), whose sum is σ = 94445568. Its totient is φ = 20442240.

The previous prime is 44296921. The next prime is 44296939. The reversal of 44296928 is 82969244.

It is a happy number.

44296928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44296921) 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 5 ways as a sum of consecutive naturals, for example, 1313 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (2623488).

Almost surely, 244296928 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 44296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47222784).

44296928 is an abundant number, since it is smaller than the sum of its proper divisors (50148640).

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

44296928 is a wasteful number, since it uses less digits than its factorization.

44296928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8206 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 44296928 is about 6655.5937376015. The cubic root of 44296928 is about 353.8271896385.

The spelling of 44296928 in words is "forty-four million, two hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 8191 16382 32764 65528 106483 131056 212966 262112 425932 851864 1384279 1703728 2768558 3407456 5537116 11074232 22148464 44296928