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2894082048 = 21234111361
BaseRepresentation
bin1010110010000000…
…0011000000000000
321110200201121020000
42230200003000000
521411341111143
61155102120000
7131501201664
oct25440030000
97420647200
102894082048
1112556a7750
12689280000
1337177b1b0
141d65148a4
1511e120bd3
hexac803000

2894082048 has 520 divisors, whose sum is σ = 10323412176. Its totient is φ = 796262400.

The previous prime is 2894082041. The next prime is 2894082067. The reversal of 2894082048 is 8402804982.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2894081994 and 2894082012.

It is not an unprimeable number, because it can be changed into a prime (2894082041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47443938 + ... + 47443998.

Almost surely, 22894082048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2894082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161706088).

2894082048 is an abundant number, since it is smaller than the sum of its proper divisors (7429330128).

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

2894082048 is a wasteful number, since it uses less digits than its factorization.

2894082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2894082048 is about 53796.6732056918. The cubic root of 2894082048 is about 1425.0724572575.

The spelling of 2894082048 in words is "two billion, eight hundred ninety-four million, eighty-two thousand, forty-eight".