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44640090 = 23251167673
BaseRepresentation
bin1010101001001…
…0011101011010
310002222221200200
42222102131122
542411440330
64232443030
71051302015
oct252223532
9102887620
1044640090
112321a840
1212b49476
13932c871
145d0037c
153dbba60
hex2a9275a

44640090 has 96 divisors (see below), whose sum is σ = 128696256. Its totient is φ = 10644480.

The previous prime is 44640073. The next prime is 44640091. The reversal of 44640090 is 9004644.

44640090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44640091) 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, 65994 + ... + 66666.

It is an arithmetic number, because the mean of its divisors is an integer number (1340586).

Almost surely, 244640090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44640090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64348128).

44640090 is an abundant number, since it is smaller than the sum of its proper divisors (84056166).

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

44640090 is a wasteful number, since it uses less digits than its factorization.

44640090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 44640090 is about 6681.3239705915. The cubic root of 44640090 is about 354.7385233188.

The spelling of 44640090 in words is "forty-four million, six hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 67 90 99 110 134 165 198 201 330 335 402 495 603 670 673 737 990 1005 1206 1346 1474 2010 2019 2211 3015 3365 3685 4038 4422 6030 6057 6633 6730 7370 7403 10095 11055 12114 13266 14806 20190 22110 22209 30285 33165 37015 44418 45091 60570 66330 66627 74030 90182 111045 133254 135273 222090 225455 270546 333135 405819 450910 496001 666270 676365 811638 992002 1352730 1488003 2029095 2480005 2976006 4058190 4464009 4960010 7440015 8928018 14880030 22320045 44640090