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44141664 = 253765687
BaseRepresentation
bin1010100001100…
…0110001100000
310002001121222110
42220120301200
542300013124
64214035320
71044124620
oct250306140
9102047873
1044141664
1122a0a316
1212948b40
1391b6a38
145c10880
153d1e029
hex2a18c60

44141664 has 48 divisors (see below), whose sum is σ = 132427008. Its totient is φ = 12611712.

The previous prime is 44141663. The next prime is 44141687. The reversal of 44141664 is 46614144.

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 (44141663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32172 + ... + 33515.

It is an arithmetic number, because the mean of its divisors is an integer number (2758896).

Almost surely, 244141664 is an apocalyptic number.

It is an amenable number.

44141664 is an abundant number, since it is smaller than the sum of its proper divisors (88285344).

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

44141664 is a wasteful number, since it uses less digits than its factorization.

44141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65707 (or 65699 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 44141664 is about 6643.9193252176. The cubic root of 44141664 is about 353.4133089010.

The spelling of 44141664 in words is "forty-four million, one hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 65687 131374 197061 262748 394122 459809 525496 788244 919618 1050992 1379427 1576488 1839236 2101984 2758854 3152976 3678472 5517708 6305952 7356944 11035416 14713888 22070832 44141664