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44268642 = 23211476771
BaseRepresentation
bin1010100011011…
…1110001100010
310002022002011100
42220313301202
542313044032
64220455230
71045164045
oct250676142
9102262140
1044268642
1122a96760
12129aa516
13922c782
145c44c5c
153d4697c
hex2a37c62

44268642 has 96 divisors (see below), whose sum is σ = 109983744. Its totient is φ = 12751200.

The previous prime is 44268617. The next prime is 44268647. The reversal of 44268642 is 24686244.

It is a happy number.

44268642 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 8 + 642 = 666.

44268642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44268597 and 44268606.

It is not an unprimeable number, because it can be changed into a prime (44268647) 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 47 ways as a sum of consecutive naturals, for example, 623467 + ... + 623537.

It is an arithmetic number, because the mean of its divisors is an integer number (1145664).

Almost surely, 244268642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44268642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991872).

44268642 is an abundant number, since it is smaller than the sum of its proper divisors (65715102).

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

44268642 is a wasteful number, since it uses less digits than its factorization.

44268642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 44268642 is about 6653.4684188023. The cubic root of 44268642 is about 353.7518609615.

The spelling of 44268642 in words is "forty-four million, two hundred sixty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 67 71 94 99 134 141 142 198 201 213 282 402 423 426 517 603 639 737 781 846 1034 1206 1278 1474 1551 1562 2211 2343 3102 3149 3337 4422 4653 4686 4757 6298 6633 6674 7029 9306 9447 9514 10011 13266 14058 14271 18894 20022 28341 28542 30033 34639 36707 42813 52327 56682 60066 69278 73414 85626 103917 104654 110121 156981 207834 220242 223579 311751 313962 330363 447158 470943 623502 660726 670737 941886 1341474 2012211 2459369 4024422 4918738 7378107 14756214 22134321 44268642