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3093138048 = 273711132619
BaseRepresentation
bin1011100001011101…
…1000101010000000
321222120021200201110
42320113120222000
522313320404143
61230532403320
7136436145120
oct27027305200
97876250643
103093138048
111347aa5440
12723a76540
133a3a94900
14214b2cc80
15131840533
hexb85d8a80

3093138048 has 384 divisors, whose sum is σ = 11110003200. Its totient is φ = 740413440.

The previous prime is 3093138043. The next prime is 3093138053. The reversal of 3093138048 is 8408313903.

It is an interprime number because it is at equal distance from previous prime (3093138043) and next prime (3093138053).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3093137997 and 3093138015.

It is not an unprimeable number, because it can be changed into a prime (3093138043) 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, 4996683 + ... + 4997301.

It is an arithmetic number, because the mean of its divisors is an integer number (28932300).

Almost surely, 23093138048 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 3093138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555001600).

3093138048 is an abundant number, since it is smaller than the sum of its proper divisors (8016865152).

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

3093138048 is a wasteful number, since it uses less digits than its factorization.

3093138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3093138048 is about 55615.9873417707. The cubic root of 3093138048 is about 1457.0230904584.

It can be divided in two parts, 3093 and 138048, that added together give a palindrome (141141).

The spelling of 3093138048 in words is "three billion, ninety-three million, one hundred thirty-eight thousand, forty-eight".