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2825106282 = 233291819967
BaseRepresentation
bin1010100001100011…
…1011001101101010
321021212221021021000
42220120323031222
521241211400112
61144155455430
7130003002315
oct25030731552
97255837230
102825106282
11121a776189
1266a157576
133603aa92b
141cb2bb97c
151180487dc
hexa863b36a

2825106282 has 64 divisors (see below), whose sum is σ = 6531033600. Its totient is φ = 904115520.

The previous prime is 2825106269. The next prime is 2825106283. The reversal of 2825106282 is 2826015282.

2825106282 is a `hidden beast` number, since 2 + 8 + 2 + 510 + 62 + 82 = 666.

2825106282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2825106283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278463 + ... + 288429.

It is an arithmetic number, because the mean of its divisors is an integer number (102047400).

Almost surely, 22825106282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825106282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265516800).

2825106282 is an abundant number, since it is smaller than the sum of its proper divisors (3705927318).

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

2825106282 is a wasteful number, since it uses less digits than its factorization.

2825106282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2825106282 is about 53151.7288712230. The cubic root of 2825106282 is about 1413.6598718304.

The spelling of 2825106282 in words is "two billion, eight hundred twenty-five million, one hundred six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 181 261 362 522 543 783 1086 1566 1629 3258 4887 5249 9774 9967 10498 15747 19934 29901 31494 47241 59802 89703 94482 141723 179406 269109 283446 289043 538218 578086 867129 1734258 1804027 2601387 3608054 5202774 5412081 7804161 10824162 15608322 16236243 32472486 48708729 52316783 97417458 104633566 156950349 313900698 470851047 941702094 1412553141 2825106282