Search a number
-
+
44244720 = 243251329163
BaseRepresentation
bin1010100011000…
…1111011110000
310002020212100100
42220301323300
542311312340
64220152400
71045034232
oct250617360
9102225310
1044244720
1122a7a793
1212998700
139221910
145c3a252
153d3e830
hex2a31ef0

44244720 has 240 divisors, whose sum is σ = 166551840. Its totient is φ = 10450944.

The previous prime is 44244713. The next prime is 44244731. The reversal of 44244720 is 2744244.

44244720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 271359 + ... + 271521.

It is an arithmetic number, because the mean of its divisors is an integer number (693966).

Almost surely, 244244720 is an apocalyptic number.

44244720 is a gapful number since it is divisible by the number (40) 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 44244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83275920).

44244720 is an abundant number, since it is smaller than the sum of its proper divisors (122307120).

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

44244720 is a wasteful number, since it uses less digits than its factorization.

44244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 44244720 is about 6651.6704668827. The cubic root of 44244720 is about 353.6881290405.

Adding to 44244720 its reverse (2744244), we get a palindrome (46988964).

The spelling of 44244720 in words is "forty-four million, two hundred forty-four thousand, seven hundred twenty".