Search a number
-
+
3091148928 = 2732737823
BaseRepresentation
bin1011100000111111…
…0011000010000000
321222102112122011100
42320033303002000
522312313231203
61230422014400
7136413222000
oct27017630200
97872478140
103091148928
111346966a3a
12723277400
133a354940a
14214772000
1513159aea3
hexb83f3080

3091148928 has 192 divisors, whose sum is σ = 10374624000. Its totient is φ = 883072512.

The previous prime is 3091148903. The next prime is 3091148933. The reversal of 3091148928 is 8298411903.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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, 391225 + ... + 399047.

It is an arithmetic number, because the mean of its divisors is an integer number (54034500).

Almost surely, 23091148928 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 3091148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187312000).

3091148928 is an abundant number, since it is smaller than the sum of its proper divisors (7283475072).

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

3091148928 is an equidigital number, since it uses as much as digits as its factorization.

3091148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3091148928 is about 55598.1018381024. The cubic root of 3091148928 is about 1456.7106984044.

The spelling of 3091148928 in words is "three billion, ninety-one million, one hundred forty-eight thousand, nine hundred twenty-eight".