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2805885852 = 2237114217213
BaseRepresentation
bin1010011100111110…
…0110101110011100
321020112202202210020
42213033212232130
521221301321402
61142231512140
7126350431140
oct24717465634
97215682706
102805885852
11120a938630
12663828650
1335940b2b3
141c8917220
151164ed8bc
hexa73e6b9c

2805885852 has 96 divisors (see below), whose sum is σ = 8183099904. Its totient is φ = 726969600.

The previous prime is 2805885847. The next prime is 2805885883. The reversal of 2805885852 is 2585885082.

It is a junction number, because it is equal to n+sod(n) for n = 2805885795 and 2805885804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385398 + ... + 392610.

It is an arithmetic number, because the mean of its divisors is an integer number (85240624).

Almost surely, 22805885852 is an apocalyptic number.

2805885852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805885852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091549952).

2805885852 is an abundant number, since it is smaller than the sum of its proper divisors (5377214052).

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

2805885852 is a wasteful number, since it uses less digits than its factorization.

2805885852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 51.

The square root of 2805885852 is about 52970.6130982076. The cubic root of 2805885852 is about 1410.4466589555.

The spelling of 2805885852 in words is "two billion, eight hundred five million, eight hundred eighty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 421 462 842 924 1263 1684 2526 2947 4631 5052 5894 7213 8841 9262 11788 13893 14426 17682 18524 21639 27786 28852 32417 35364 43278 50491 55572 64834 79343 86556 97251 100982 129668 151473 158686 194502 201964 238029 302946 317372 389004 476058 555401 605892 952116 1110802 1666203 2221604 3036673 3332406 6073346 6664812 9110019 12146692 18220038 21256711 33403403 36440076 42513422 63770133 66806806 85026844 100210209 127540266 133613612 200420418 233823821 255080532 400840836 467647642 701471463 935295284 1402942926 2805885852