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2803382106 = 2375310312227
BaseRepresentation
bin1010011100011000…
…0011011101011010
321020101001120021220
42213012003131122
521220131211411
61142102112510
7126320232450
oct24706033532
97211046256
102803382106
111209488518
12662a1b736
13358a427a5
141c84649d0
151161a6b06
hexa718375a

2803382106 has 64 divisors (see below), whose sum is σ = 6592555008. Its totient is φ = 778160448.

The previous prime is 2803382089. The next prime is 2803382129. The reversal of 2803382106 is 6012833082.

2803382106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223165 + ... + 235391.

It is an arithmetic number, because the mean of its divisors is an integer number (103008672).

Almost surely, 22803382106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2803382106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296277504).

2803382106 is an abundant number, since it is smaller than the sum of its proper divisors (3789172902).

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

2803382106 is a wasteful number, since it uses less digits than its factorization.

2803382106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12395.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2803382106 is about 52946.9744744683. The cubic root of 2803382106 is about 1410.0270112023.

The spelling of 2803382106 in words is "two billion, eight hundred three million, three hundred eighty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 53 103 106 159 206 309 318 371 618 721 742 1113 1442 2163 2226 4326 5459 10918 12227 16377 24454 32754 36681 38213 73362 76426 85589 114639 171178 229278 256767 513534 648031 1259381 1296062 1944093 2518762 3778143 3888186 4536217 7556286 8815667 9072434 13608651 17631334 26447001 27217302 52894002 66747193 133494386 200241579 400483158 467230351 934460702 1401691053 2803382106