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2875883472 = 24327112171973
BaseRepresentation
bin1010101101101010…
…0111111111010000
321102102111000110200
42223122213333100
521342211232342
61153212055200
7131160414630
oct25332477720
97372430420
102875883472
1112463a7900
12683164500
1336aa789c7
141d3d386c0
1511c72894c
hexab6a7fd0

2875883472 has 720 divisors, whose sum is σ = 11423018880. Its totient is φ = 656916480.

The previous prime is 2875883449. The next prime is 2875883537. The reversal of 2875883472 is 2743885782.

2875883472 is a `hidden beast` number, since 28 + 7 + 588 + 34 + 7 + 2 = 666.

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 143 ways as a sum of consecutive naturals, for example, 39395628 + ... + 39395700.

It is an arithmetic number, because the mean of its divisors is an integer number (15865304).

Almost surely, 22875883472 is an apocalyptic number.

2875883472 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 2875883472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711509440).

2875883472 is an abundant number, since it is smaller than the sum of its proper divisors (8547135408).

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

2875883472 is a wasteful number, since it uses less digits than its factorization.

2875883472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 2875883472 is about 53627.2642598893. The cubic root of 2875883472 is about 1422.0791258409.

The spelling of 2875883472 in words is "two billion, eight hundred seventy-five million, eight hundred eighty-three thousand, four hundred seventy-two".