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44868384 = 2533114721
BaseRepresentation
bin1010101100101…
…0001100100000
310010102112212000
42223022030200
542441242014
64241404000
71053242421
oct253121440
9103375760
1044868384
1123366310
1213039600
1393ac752
145d5d648
153e14509
hex2aca320

44868384 has 96 divisors (see below), whose sum is σ = 142793280. Its totient is φ = 13593600.

The previous prime is 44868361. The next prime is 44868401. The reversal of 44868384 is 48386844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144 + ... + 11864.

It is an arithmetic number, because the mean of its divisors is an integer number (1487430).

Almost surely, 244868384 is an apocalyptic number.

44868384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71396640).

44868384 is an abundant number, since it is smaller than the sum of its proper divisors (97924896).

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

44868384 is a wasteful number, since it uses less digits than its factorization.

44868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4737 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 44868384 is about 6698.3866714307. The cubic root of 44868384 is about 355.3422184331.

The spelling of 44868384 in words is "forty-four million, eight hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4721 4752 9442 9504 14163 18884 28326 37768 42489 51931 56652 75536 84978 103862 113304 127467 151072 155793 169956 207724 226608 254934 311586 339912 415448 453216 467379 509868 623172 679824 830896 934758 1019736 1246344 1359648 1402137 1661792 1869516 2039472 2492688 2804274 3739032 4078944 4985376 5608548 7478064 11217096 14956128 22434192 44868384