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2020444384 = 257232913523
BaseRepresentation
bin111100001101101…
…1000100011100000
312012210211012122111
41320123120203200
513114213210014
6532253045104
7101032331260
oct17033304340
95183735574
102020444384
11947540852
12484786794
13262784b2a
1415249b7a0
15bc5a02c4
hex786d88e0

2020444384 has 96 divisors (see below), whose sum is σ = 4907589120. Its totient is φ = 799636992.

The previous prime is 2020444343. The next prime is 2020444409. The reversal of 2020444384 is 4834440202.

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, 142647 + ... + 156169.

It is an arithmetic number, because the mean of its divisors is an integer number (51120720).

Almost surely, 22020444384 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 2020444384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453794560).

2020444384 is an abundant number, since it is smaller than the sum of its proper divisors (2887144736).

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

2020444384 is a wasteful number, since it uses less digits than its factorization.

2020444384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13592 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 2020444384 is about 44949.3535437385. The cubic root of 2020444384 is about 1264.1995558990.

Adding to 2020444384 its reverse (4834440202), we get a palindrome (6854884586).

The spelling of 2020444384 in words is "two billion, twenty million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 644 667 736 812 928 1288 1334 1624 2576 2668 3248 4669 5152 5336 6496 9338 10672 13523 18676 21344 27046 37352 54092 74704 94661 108184 149408 189322 216368 311029 378644 392167 432736 622058 757288 784334 1244116 1514576 1568668 2177203 2488232 2745169 3029152 3137336 4354406 4976464 5490338 6274672 8708812 9019841 9952928 10980676 12549344 17417624 18039682 21961352 34835248 36079364 43922704 63138887 69670496 72158728 87845408 126277774 144317456 252555548 288634912 505111096 1010222192 2020444384