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2444383328 = 252310731039
BaseRepresentation
bin1001000110110010…
…0101010001100000
320022100112112112212
42101230211101200
520001230231303
61042315341252
7114400626002
oct22154452140
96270475485
102444383328
111044877412
12582751828
132cc55868a
141928d4372
15e48e1ad8
hex91b25460

2444383328 has 48 divisors (see below), whose sum is σ = 5068707840. Its totient is φ = 1158089856.

The previous prime is 2444383321. The next prime is 2444383339. The reversal of 2444383328 is 8233834442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444383321) 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, 63233 + ... + 94271.

It is an arithmetic number, because the mean of its divisors is an integer number (105598080).

Almost surely, 22444383328 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 2444383328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534353920).

2444383328 is an abundant number, since it is smaller than the sum of its proper divisors (2624324512).

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

2444383328 is a wasteful number, since it uses less digits than its factorization.

2444383328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31179 (or 31171 counting only the distinct ones).

The product of its digits is 442368, while the sum is 41.

The square root of 2444383328 is about 49440.7051729645. The cubic root of 2444383328 is about 1347.0687801341.

The spelling of 2444383328 in words is "two billion, four hundred forty-four million, three hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 107 184 214 368 428 736 856 1712 2461 3424 4922 9844 19688 31039 39376 62078 78752 124156 248312 496624 713897 993248 1427794 2855588 3321173 5711176 6642346 11422352 13284692 22844704 26569384 53138768 76386979 106277536 152773958 305547916 611095832 1222191664 2444383328