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44428224 = 2631491553
BaseRepresentation
bin1010100101111…
…0101111000000
310002121012001210
42221132233000
542333200344
64224130120
71046430231
oct251365700
9102535053
1044428224
1123095645
1212a66940
1392872b9
145c87088
153d78db9
hex2a5ebc0

44428224 has 56 divisors (see below), whose sum is σ = 118414800. Its totient is φ = 14700544.

The previous prime is 44428217. The next prime is 44428229. The reversal of 44428224 is 42282444.

44428224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44428191 and 44428200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44428229) 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, 27832 + ... + 29384.

It is an arithmetic number, because the mean of its divisors is an integer number (2114550).

Almost surely, 244428224 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 44428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59207400).

44428224 is an abundant number, since it is smaller than the sum of its proper divisors (73986576).

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

44428224 is a wasteful number, since it uses less digits than its factorization.

44428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1707 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 44428224 is about 6665.4500223166. The cubic root of 44428224 is about 354.1764258318.

The spelling of 44428224 in words is "forty-four million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1553 1788 2384 3106 3576 4659 4768 6212 7152 9318 9536 12424 14304 18636 24848 28608 37272 49696 74544 99392 149088 231397 298176 462794 694191 925588 1388382 1851176 2776764 3702352 5553528 7404704 11107056 14809408 22214112 44428224