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2808346420 = 2251131509809
BaseRepresentation
bin1010011101100011…
…1111011100110100
321020201101210001101
42213120333130310
521222414041140
61142400335444
7126410356615
oct24730773464
97221353041
102808346420
111211269260
12664614584
13359a90259
141c8d97c0c
1511683799a
hexa763f734

2808346420 has 96 divisors (see below), whose sum is σ = 6662476800. Its totient is φ = 985113600.

The previous prime is 2808346379. The next prime is 2808346441. The reversal of 2808346420 is 246438082.

It is a super-2 number, since 2×28083464202 = 15773619229453632800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2808346420.

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, 3470976 + ... + 3471784.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 22808346420 is an apocalyptic number.

2808346420 is a gapful number since it is divisible by the number (20) 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 2808346420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331238400).

2808346420 is an abundant number, since it is smaller than the sum of its proper divisors (3854130380).

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

2808346420 is a wasteful number, since it uses less digits than its factorization.

2808346420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 2808346420 is about 52993.8337922442. The cubic root of 2808346420 is about 1410.8588265832.

The spelling of 2808346420 in words is "two billion, eight hundred eight million, three hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 509 620 682 809 1018 1364 1618 1705 2036 2545 3236 3410 4045 5090 5599 6820 8090 8899 10180 11198 15779 16180 17798 22396 25079 27995 31558 35596 44495 50158 55990 63116 78895 88990 100316 111980 125395 157790 173569 177980 250790 275869 315580 347138 411781 501580 551738 694276 823562 867845 1103476 1379345 1647124 1735690 2058905 2758690 3471380 4117810 4529591 5517380 8235620 9059182 12765211 18118364 22647955 25530422 45295910 51060844 63826055 90591820 127652110 140417321 255304220 280834642 561669284 702086605 1404173210 2808346420