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2029286112 = 25377514021
BaseRepresentation
bin111100011110100…
…0111001011100000
312020102110102012220
41320331013023200
513123444123422
6533210351040
7101200435020
oct17075071340
95212412186
102029286112
1195152a767
1248772b480
1326455c419
1415371da80
15bd249e5c
hex78f472e0

2029286112 has 96 divisors (see below), whose sum is σ = 6097480704. Its totient is φ = 578880000.

The previous prime is 2029286111. The next prime is 2029286117. The reversal of 2029286112 is 2116829202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029286111) 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, 502662 + ... + 506682.

It is an arithmetic number, because the mean of its divisors is an integer number (63515424).

Almost surely, 22029286112 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 2029286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048740352).

2029286112 is an abundant number, since it is smaller than the sum of its proper divisors (4068194592).

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

2029286112 is a wasteful number, since it uses less digits than its factorization.

2029286112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2029286112 is about 45047.5982933608. The cubic root of 2029286112 is about 1266.0409730955.

The spelling of 2029286112 in words is "two billion, twenty-nine million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 751 1502 2253 3004 4021 4506 5257 6008 8042 9012 10514 12016 12063 15771 16084 18024 21028 24032 24126 28147 31542 32168 36048 42056 48252 56294 63084 64336 72096 84112 84441 96504 112588 126168 128672 168224 168882 193008 225176 252336 337764 386016 450352 504672 675528 900704 1351056 2702112 3019771 6039542 9059313 12079084 18118626 21138397 24158168 36237252 42276794 48316336 63415191 72474504 84553588 96632672 126830382 144949008 169107176 253660764 289898016 338214352 507321528 676428704 1014643056 2029286112