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44381904 = 2437235743
BaseRepresentation
bin1010100101001…
…1011011010000
310002111211112020
42221103123100
542330210104
64223131440
71046145210
oct251233320
9102454466
1044381904
1123063866
1212a43b80
13926c1a8
145c74240
153d6a2d9
hex2a536d0

44381904 has 80 divisors (see below), whose sum is σ = 136753152. Its totient is φ = 12127104.

The previous prime is 44381903. The next prime is 44381923. The reversal of 44381904 is 40918344.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44381903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 10599.

Almost surely, 244381904 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 44381904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68376576).

44381904 is an abundant number, since it is smaller than the sum of its proper divisors (92371248).

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

44381904 is a wasteful number, since it uses less digits than its factorization.

44381904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 44381904 is about 6661.9744820886. The cubic root of 44381904 is about 354.0532972197.

The spelling of 44381904 in words is "forty-four million, three hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5743 7728 11486 17229 22972 34458 40201 45944 68916 80402 91888 120603 132089 137832 160804 241206 264178 275664 321608 396267 482412 528356 643216 792534 924623 964824 1056712 1585068 1849246 1929648 2113424 2773869 3170136 3698492 5547738 6340272 7396984 11095476 14793968 22190952 44381904