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2027888384 = 28171313557
BaseRepresentation
bin111100011011111…
…0001111100000000
312020022211101220012
41320313301330000
513123114412014
6533120404052
7101152524014
oct17067617400
95208741805
102027888384
11950765615
12487176628
13264190172
14153478544
15bd070c3e
hex78df1f00

2027888384 has 72 divisors (see below), whose sum is σ = 4319895888. Its totient is φ = 946749440.

The previous prime is 2027888363. The next prime is 2027888419. The reversal of 2027888384 is 4838887202.

It is a happy number.

It is a super-2 number, since 2×20278883842 = 8224662595924262912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568334 + ... + 571890.

It is an arithmetic number, because the mean of its divisors is an integer number (59998554).

Almost surely, 22027888384 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 2027888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159947944).

2027888384 is an abundant number, since it is smaller than the sum of its proper divisors (2292007504).

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

2027888384 is a wasteful number, since it uses less digits than its factorization.

2027888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The square root of 2027888384 is about 45032.0817195919. The cubic root of 2027888384 is about 1265.7502325332.

The spelling of 2027888384 in words is "two billion, twenty-seven million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 256 262 272 524 544 1048 1088 2096 2176 2227 3557 4192 4352 4454 7114 8384 8908 14228 16768 17816 28456 33536 35632 56912 60469 71264 113824 120938 142528 227648 241876 285056 455296 465967 483752 570112 910592 931934 967504 1863868 1935008 3727736 3870016 7455472 7740032 7921439 14910944 15480064 15842878 29821888 31685756 59643776 63371512 119287552 126743024 253486048 506972096 1013944192 2027888384