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2882103840 = 25325711217139
BaseRepresentation
bin1010101111001001…
…0110101000100000
321102212012001012200
42223302112220200
521400304310330
61153553253200
7131264323050
oct25362265040
97385161180
102882103840
111249966300
12685264200
1336c1460b5
141d4ab7560
1511d056a60
hexabc96a20

2882103840 has 864 divisors, whose sum is σ = 13175809920. Its totient is φ = 559595520.

The previous prime is 2882103811. The next prime is 2882103943. The reversal of 2882103840 is 483012882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2882103795 and 2882103804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734491 + ... + 20734629.

It is an arithmetic number, because the mean of its divisors is an integer number (15249780).

Almost surely, 22882103840 is an apocalyptic number.

2882103840 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 2882103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960).

2882103840 is an abundant number, since it is smaller than the sum of its proper divisors (10293706080).

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

2882103840 is a wasteful number, since it uses less digits than its factorization.

2882103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2882103840 is about 53685.2292534921. The cubic root of 2882103840 is about 1423.1036788796.

The spelling of 2882103840 in words is "two billion, eight hundred eighty-two million, one hundred three thousand, eight hundred forty".