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5386384224 = 253313237997
BaseRepresentation
bin1010000010000110…
…11011001101100000
3111220101102200002000
411001003123031200
542012403243344
62250252524000
7250323340044
oct50103331540
914811380060
105386384224
112314523211
121063a80600
1367ac13900
14391520024
15217d2aa69
hex1410db360

5386384224 has 288 divisors, whose sum is σ = 17489031840. Its totient is φ = 1610938368.

The previous prime is 5386384217. The next prime is 5386384229. The reversal of 5386384224 is 4224836835.

5386384224 is a `hidden beast` number, since 5 + 3 + 8 + 638 + 4 + 2 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5386384224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5386384229) 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 47 ways as a sum of consecutive naturals, for example, 5402094 + ... + 5403090.

It is an arithmetic number, because the mean of its divisors is an integer number (60725805).

Almost surely, 25386384224 is an apocalyptic number.

5386384224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5386384224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744515920).

5386384224 is an abundant number, since it is smaller than the sum of its proper divisors (12102647616).

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

5386384224 is a wasteful number, since it uses less digits than its factorization.

5386384224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1052 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 5386384224 is about 73391.9901896658. The cubic root of 5386384224 is about 1752.9348548043.

The spelling of 5386384224 in words is "five billion, three hundred eighty-six million, three hundred eighty-four thousand, two hundred twenty-four".