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889427448 = 23327132931151
BaseRepresentation
bin110101000000111…
…001010111111000
32021222121121002100
4311000321113320
53310143134243
6224131303400
731020002640
oct6500712770
92258547070
10889427448
11417071008
12209a4ab60
13112364340
14861a7520
155313e0d3
hex350395f8

889427448 has 384 divisors, whose sum is σ = 3186892800. Its totient is φ = 217728000.

The previous prime is 889427443. The next prime is 889427489. The reversal of 889427448 is 844724988.

889427448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 889427394 and 889427403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889427443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5890173 + ... + 5890323.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2889427448 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 889427448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

889427448 is an abundant number, since it is smaller than the sum of its proper divisors (2297465352).

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

889427448 is a wasteful number, since it uses less digits than its factorization.

889427448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 889427448 is about 29823.2702432178. The cubic root of 889427448 is about 961.6938584957.

The spelling of 889427448 in words is "eight hundred eighty-nine million, four hundred twenty-seven thousand, four hundred forty-eight".