Search a number
-
+
4304868048 = 2432132237691
BaseRepresentation
bin1000000001001011…
…10001001011010000
3102010000100221210100
410000211301023100
532304021234143
61551100132400
7211451526465
oct40045611320
912100327710
104304868048
111909a93098
12a01837100
13537b35200
142cba3366c
151a2de66d3
hex1009712d0

4304868048 has 180 divisors, whose sum is σ = 13614655392. Its totient is φ = 1266819840.

The previous prime is 4304868031. The next prime is 4304868059. The reversal of 4304868048 is 8408684034.

It is a junction number, because it is equal to n+sod(n) for n = 4304867994 and 4304868012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 555883 + ... + 563573.

Almost surely, 24304868048 is an apocalyptic number.

4304868048 is a gapful number since it is divisible by the number (48) 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 4304868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807327696).

4304868048 is an abundant number, since it is smaller than the sum of its proper divisors (9309787344).

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

4304868048 is a wasteful number, since it uses less digits than its factorization.

4304868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4304868048 is about 65611.4932614706. The cubic root of 4304868048 is about 1626.7467510365.

The spelling of 4304868048 in words is "four billion, three hundred four million, eight hundred sixty-eight thousand, forty-eight".