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44289648 = 24321359401
BaseRepresentation
bin1010100011110…
…0111001110000
310002100010222100
42220330321300
542314232043
64221140400
71045312224
oct250747160
9102303870
1044289648
1123000517
12129ba700
1392391c0
145c4c784
153d4ccd3
hex2a3ce70

44289648 has 120 divisors (see below), whose sum is σ = 136085040. Its totient is φ = 13363200.

The previous prime is 44289593. The next prime is 44289649. The reversal of 44289648 is 84698244.

44289648 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (44289649) 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 23 ways as a sum of consecutive naturals, for example, 110248 + ... + 110648.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 244289648 is an apocalyptic number.

44289648 is a gapful number since it is divisible by the number (48) 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 44289648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68042520).

44289648 is an abundant number, since it is smaller than the sum of its proper divisors (91795392).

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

44289648 is a wasteful number, since it uses less digits than its factorization.

44289648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 44289648 is about 6655.0468067475. The cubic root of 44289648 is about 353.8078052765.

The spelling of 44289648 in words is "forty-four million, two hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 401 468 472 531 624 708 767 802 936 944 1062 1203 1416 1534 1604 1872 2124 2301 2406 2832 3068 3208 3609 4248 4602 4812 5213 6136 6416 6903 7218 8496 9204 9624 10426 12272 13806 14436 15639 18408 19248 20852 23659 27612 28872 31278 36816 41704 46917 47318 55224 57744 62556 70977 83408 93834 94636 110448 125112 141954 187668 189272 212931 250224 283908 307567 375336 378544 425862 567816 615134 750672 851724 922701 1135632 1230268 1703448 1845402 2460536 2768103 3406896 3690804 4921072 5536206 7381608 11072412 14763216 22144824 44289648