Search a number
-
+
44720032 = 2571811103
BaseRepresentation
bin1010101010010…
…1111110100000
310010011000100111
42222211332200
542422020112
64234301104
71052054050
oct252457640
9103130314
1044720032
1123274905
1212b87794
13935a076
145d21560
153dd55a7
hex2aa5fa0

44720032 has 48 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 19042560.

The previous prime is 44720023. The next prime is 44720033. The reversal of 44720032 is 23002744.

44720032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 44719985 and 44720012.

It is not an unprimeable number, because it can be changed into a prime (44720033) 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, 39993 + ... + 41095.

It is an arithmetic number, because the mean of its divisors is an integer number (2109744).

Almost surely, 244720032 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 44720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

44720032 is an abundant number, since it is smaller than the sum of its proper divisors (56547680).

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

44720032 is a wasteful number, since it uses less digits than its factorization.

44720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 44720032 is about 6687.3037915142. The cubic root of 44720032 is about 354.9501536837.

Adding to 44720032 its reverse (23002744), we get a palindrome (67722776).

The spelling of 44720032 in words is "forty-four million, seven hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 724 1103 1267 1448 2206 2534 2896 4412 5068 5792 7721 8824 10136 15442 17648 20272 30884 35296 40544 61768 123536 199643 247072 399286 798572 1397501 1597144 2795002 3194288 5590004 6388576 11180008 22360016 44720032