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44244144 = 243474877
BaseRepresentation
bin1010100011000…
…1110010110000
310002020211120000
42220301302300
542311303034
64220150000
71045032450
oct250616260
9102224500
1044244144
1122a7a30a
1212998300
139221589
145c39d60
153d3e599
hex2a31cb0

44244144 has 100 divisors (see below), whose sum is σ = 146379024. Its totient is φ = 12638592.

The previous prime is 44244131. The next prime is 44244163. The reversal of 44244144 is 44144244.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6634 + ... + 11510.

Almost surely, 244244144 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 44244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73189512).

44244144 is an abundant number, since it is smaller than the sum of its proper divisors (102134880).

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

44244144 is a wasteful number, since it uses less digits than its factorization.

44244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4889 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 44244144 is about 6651.6271693474. The cubic root of 44244144 is about 353.6865942039.

Adding to 44244144 its reverse (44144244), we get a palindrome (88388388).

The spelling of 44244144 in words is "forty-four million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 4877 9072 9754 14631 19508 29262 34139 39016 43893 58524 68278 78032 87786 102417 117048 131679 136556 175572 204834 234096 263358 273112 307251 351144 395037 409668 526716 546224 614502 702288 790074 819336 921753 1053432 1229004 1580148 1638672 1843506 2106864 2458008 2765259 3160296 3687012 4916016 5530518 6320592 7374024 11061036 14748048 22122072 44244144