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4938331392 = 283237531093
BaseRepresentation
bin1001001100101100…
…01111010100000000
3110202011100020010200
410212112033110000
540103203101032
62134005325200
7233243060421
oct44626172400
913664306120
104938331392
112104617515
12b59a06800
136091492a7
1434bc0b648
151dd82447c
hex12658f500

4938331392 has 216 divisors, whose sum is σ = 14912790984. Its totient is φ = 1569964032.

The previous prime is 4938331367. The next prime is 4938331393. The reversal of 4938331392 is 2931338394.

It can be written as a sum of positive squares in 4 ways, for example, as 3786679296 + 1151652096 = 61536^2 + 33936^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938331393) 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 23 ways as a sum of consecutive naturals, for example, 4517598 + ... + 4518690.

It is an arithmetic number, because the mean of its divisors is an integer number (69040699).

Almost surely, 24938331392 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 4938331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456395492).

4938331392 is an abundant number, since it is smaller than the sum of its proper divisors (9974459592).

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

4938331392 is a wasteful number, since it uses less digits than its factorization.

4938331392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 4938331392 is about 70273.2622837449. The cubic root of 4938331392 is about 1702.9167220441.

The spelling of 4938331392 in words is "four billion, nine hundred thirty-eight million, three hundred thirty-one thousand, three hundred ninety-two".