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44416840 = 23513229373
BaseRepresentation
bin1010100101101…
…1111101001000
310002120121110011
42221123331020
542332314330
64224001304
71046352106
oct251337510
9102517404
1044416840
1123088036
1212a60234
139282070
145c82c76
153d7582a
hex2a5bf48

44416840 has 64 divisors (see below), whose sum is σ = 108385200. Its totient is φ = 16284672.

The previous prime is 44416829. The next prime is 44416843. The reversal of 44416840 is 4861444.

It can be written as a sum of positive squares in 8 ways, for example, as 22905796 + 21511044 = 4786^2 + 4638^2 .

It is not an unprimeable number, because it can be changed into a prime (44416843) 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, 118894 + ... + 119266.

Almost surely, 244416840 is an apocalyptic number.

44416840 is a gapful number since it is divisible by the number (40) 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 44416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192600).

44416840 is an abundant number, since it is smaller than the sum of its proper divisors (63968360).

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

44416840 is a wasteful number, since it uses less digits than its factorization.

44416840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 44416840 is about 6664.5960117625. The cubic root of 44416840 is about 354.1461726242.

The spelling of 44416840 in words is "forty-four million, four hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 373 458 520 746 916 1145 1492 1832 1865 2290 2977 2984 3730 4580 4849 5954 7460 9160 9698 11908 14885 14920 19396 23816 24245 29770 38792 48490 59540 85417 96980 119080 170834 193960 341668 427085 683336 854170 1110421 1708340 2220842 3416680 4441684 5552105 8883368 11104210 22208420 44416840