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2028144384 = 28327125753
BaseRepresentation
bin111100011100011…
…0000011100000000
312020100022102001200
41320320300130000
513123201110014
6533130101200
7101154641250
oct17070603400
95210272050
102028144384
1195091a992
1248727a800
1326424c846
14153503960
15bd0c1a09
hex78e30700

2028144384 has 108 divisors (see below), whose sum is σ = 6683070576. Its totient is φ = 579465216.

The previous prime is 2028144383. The next prime is 2028144401. The reversal of 2028144384 is 4834418202.

2028144384 is a `hidden beast` number, since 202 + 8 + 1 + 443 + 8 + 4 = 666.

It is a super-2 number, since 2×20281443842 = 8226739284701478912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028144383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46749 + ... + 79004.

Almost surely, 22028144384 is an apocalyptic number.

2028144384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2028144384 is an abundant number, since it is smaller than the sum of its proper divisors (4654926192).

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

2028144384 is a wasteful number, since it uses less digits than its factorization.

2028144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125782 (or 125765 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2028144384 is about 45034.9240478986. The cubic root of 2028144384 is about 1265.8034929309.

The spelling of 2028144384 in words is "two billion, twenty-eight million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 125753 251506 377259 503012 754518 880271 1006024 1131777 1509036 1760542 2012048 2263554 2640813 3018072 3521084 4024096 4527108 5281626 6036144 7042168 7922439 8048192 9054216 10563252 12072288 14084336 15844878 16096384 18108432 21126504 24144576 28168672 31689756 32192768 36216864 42253008 48289152 56337344 63379512 72433728 84506016 96578304 112674688 126759024 144867456 169012032 225349376 253518048 289734912 338024064 507036096 676048128 1014072192 2028144384