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4444675092 = 2237112131719
BaseRepresentation
bin1000010001110110…
…00101110000010100
3102110202102220000000
410020323011300110
533100314100332
62013012451300
7215100054264
oct41073056024
912422386000
104444675092
1119809a3200
12a40619b30
1355aaa5780
143024277a4
151b0310b7c
hex108ec5c14

4444675092 has 576 divisors, whose sum is σ = 15390547200. Its totient is φ = 1108546560.

The previous prime is 4444675063. The next prime is 4444675097. The reversal of 4444675092 is 2905764444.

4444675092 is a `hidden beast` number, since 44 + 44 + 67 + 509 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444675097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233930259 + ... + 233930277.

It is an arithmetic number, because the mean of its divisors is an integer number (26719700).

Almost surely, 24444675092 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 4444675092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695273600).

4444675092 is an abundant number, since it is smaller than the sum of its proper divisors (10945872108).

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

4444675092 is a wasteful number, since it uses less digits than its factorization.

4444675092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4444675092 is about 66668.3965008909. The cubic root of 4444675092 is about 1644.1698236843.

The spelling of 4444675092 in words is "four billion, four hundred forty-four million, six hundred seventy-five thousand, ninety-two".