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889443072 = 2833731593
BaseRepresentation
bin110101000000111…
…101001100000000
32021222122101112000
4311000331030000
53310144134242
6224131504000
731020066330
oct6500751400
92258571460
10889443072
11417081821
12209a58000
1311236b49b
14861ad0c0
1553143a4c
hex3503d300

889443072 has 288 divisors, whose sum is σ = 3108188160. Its totient is φ = 245514240.

The previous prime is 889443059. The next prime is 889443101. The reversal of 889443072 is 270344988.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8894430722 = 1582217956657594368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499608 + ... + 1500200.

It is an arithmetic number, because the mean of its divisors is an integer number (10792320).

Almost surely, 2889443072 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 889443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554094080).

889443072 is an abundant number, since it is smaller than the sum of its proper divisors (2218745088).

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

889443072 is a wasteful number, since it uses less digits than its factorization.

889443072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 889443072 is about 29823.5321851722. The cubic root of 889443072 is about 961.6994896153.

The spelling of 889443072 in words is "eight hundred eighty-nine million, four hundred forty-three thousand, seventy-two".