Search a number
-
+
44244120 = 2335675503
BaseRepresentation
bin1010100011000…
…1110010011000
310002020211112010
42220301302120
542311302440
64220145520
71045032414
oct250616230
9102224463
1044244120
1122a7a298
12129982a0
13922156b
145c39d44
153d3e580
hex2a31c98

44244120 has 64 divisors (see below), whose sum is σ = 134737920. Its totient is φ = 11620224.

The previous prime is 44244113. The next prime is 44244121. The reversal of 44244120 is 2144244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44244121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5289 + ... + 10791.

It is an arithmetic number, because the mean of its divisors is an integer number (2105280).

Almost surely, 244244120 is an apocalyptic number.

44244120 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 44244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67368960).

44244120 is an abundant number, since it is smaller than the sum of its proper divisors (90493800).

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

44244120 is a wasteful number, since it uses less digits than its factorization.

44244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 44244120 is about 6651.6253652773. The cubic root of 44244120 is about 353.6865302520.

Adding to 44244120 its reverse (2144244), we get a palindrome (46388364).

The spelling of 44244120 in words is "forty-four million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 5503 8040 11006 16509 22012 27515 33018 44024 55030 66036 82545 110060 132072 165090 220120 330180 368701 660360 737402 1106103 1474804 1843505 2212206 2949608 3687010 4424412 5530515 7374020 8848824 11061030 14748040 22122060 44244120