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44268384 = 2532915901
BaseRepresentation
bin1010100011011…
…1101101100000
310002022001210210
42220313231200
542313042014
64220454120
71045163226
oct250675540
9102261723
1044268384
1122a96546
12129aa340
13922c614
145c44b16
153d46859
hex2a37b60

44268384 has 48 divisors (see below), whose sum is σ = 120219120. Its totient is φ = 14246400.

The previous prime is 44268383. The next prime is 44268421. The reversal of 44268384 is 48386244.

44268384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 (44268383) 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 7 ways as a sum of consecutive naturals, for example, 5167 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (2504565).

Almost surely, 244268384 is an apocalyptic number.

It is an amenable number.

44268384 is an abundant number, since it is smaller than the sum of its proper divisors (75950736).

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

44268384 is a wasteful number, since it uses less digits than its factorization.

44268384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15935 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 44268384 is about 6653.4490303902. The cubic root of 44268384 is about 353.7511737320.

The spelling of 44268384 in words is "forty-four million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 15901 31802 47703 63604 95406 127208 190812 254416 381624 461129 508832 763248 922258 1383387 1526496 1844516 2766774 3689032 5533548 7378064 11067096 14756128 22134192 44268384