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9042284448 = 253329563641
BaseRepresentation
bin10000110101111011…
…00100111110100000
3212100011122122101000
420122331210332200
5122004311100243
64053131312000
7440035102221
oct103275447640
925304578330
109042284448
11392015215a
1219042ab600
13b11466892
1461aca1248
1537dc805d3
hex21af64fa0

9042284448 has 192 divisors, whose sum is σ = 27373852800. Its totient is φ = 2900459520.

The previous prime is 9042284441. The next prime is 9042284497. The reversal of 9042284448 is 8444822409.

9042284448 is a `hidden beast` number, since 90 + 42 + 2 + 84 + 448 = 666.

9042284448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9042284441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14106208 + ... + 14106848.

It is an arithmetic number, because the mean of its divisors is an integer number (142572150).

Almost surely, 29042284448 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 9042284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686926400).

9042284448 is an abundant number, since it is smaller than the sum of its proper divisors (18331568352).

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

9042284448 is a wasteful number, since it uses less digits than its factorization.

9042284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 9042284448 is about 95090.9272643821. The cubic root of 9042284448 is about 2083.3363344910.

The spelling of 9042284448 in words is "nine billion, forty-two million, two hundred eighty-four thousand, four hundred forty-eight".