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2882512980 = 223451779329
BaseRepresentation
bin1010101111001111…
…1010100001010100
321102212221211110000
42223303322201110
521400410403410
61154010131300
7131300645634
oct25363724124
97385854400
102882512980
11124a115736
12685420b30
1336c25a3a9
141d4b826c4
1511d0d7dc0
hexabcfa854

2882512980 has 60 divisors (see below), whose sum is σ = 9042555060. Its totient is φ = 768669696.

The previous prime is 2882512949. The next prime is 2882512993. The reversal of 2882512980 is 892152882.

It can be written as a sum of positive squares in 2 ways, for example, as 1372257936 + 1510255044 = 37044^2 + 38862^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 888045 + ... + 891284.

It is an arithmetic number, because the mean of its divisors is an integer number (150709251).

Almost surely, 22882512980 is an apocalyptic number.

2882512980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2882512980 is an abundant number, since it is smaller than the sum of its proper divisors (6160042080).

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

2882512980 is a wasteful number, since it uses less digits than its factorization.

2882512980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779350 (or 1779339 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2882512980 is about 53689.0396636036. The cubic root of 2882512980 is about 1423.1710163897.

The spelling of 2882512980 in words is "two billion, eight hundred eighty-two million, five hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1779329 3558658 5337987 7117316 8896645 10675974 16013961 17793290 21351948 26689935 32027922 35586580 48041883 53379870 64055844 80069805 96083766 106759740 144125649 160139610 192167532 240209415 288251298 320279220 480418830 576502596 720628245 960837660 1441256490 2882512980