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2882673920 = 28572194159
BaseRepresentation
bin1010101111010010…
…0001110100000000
321102220021000012202
42223310201310000
521400431031140
61154013412332
7131302216100
oct25364416400
97386230182
102882673920
11124a215645
1268549a0a8
1336c2b5719
141d4bc5200
1511d11a915
hexabd21d00

2882673920 has 432 divisors, whose sum is σ = 8808004800. Its totient is φ = 898007040.

The previous prime is 2882673917. The next prime is 2882673929. The reversal of 2882673920 is 293762882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2882673929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48858851 + ... + 48858909.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 22882673920 is an apocalyptic number.

2882673920 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 2882673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404002400).

2882673920 is an abundant number, since it is smaller than the sum of its proper divisors (5925330880).

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

2882673920 is a wasteful number, since it uses less digits than its factorization.

2882673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 2882673920 is about 53690.5384588384. The cubic root of 2882673920 is about 1423.1975026400.

The spelling of 2882673920 in words is "two billion, eight hundred eighty-two million, six hundred seventy-three thousand, nine hundred twenty".