Search a number
-
+
4428520096 = 2571113236011
BaseRepresentation
bin1000001111111010…
…11101101010100000
3102102122001010111211
410013331131222200
533032200120341
62011234315504
7214512541210
oct40775355240
912378033454
104428520096
111972869770
12a37128b94
1355763a4c0
14300220240
151adbbe181
hex107f5daa0

4428520096 has 192 divisors, whose sum is σ = 12217153536. Its totient is φ = 1523174400.

The previous prime is 4428520093. The next prime is 4428520157. The reversal of 4428520096 is 6900258244.

It is a super-2 number, since 2×44285200962 = 39223580481351698432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4428520093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733731 + ... + 739741.

It is an arithmetic number, because the mean of its divisors is an integer number (63631008).

Almost surely, 24428520096 is an apocalyptic number.

4428520096 is a gapful number since it is divisible by the number (46) 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 4428520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108576768).

4428520096 is an abundant number, since it is smaller than the sum of its proper divisors (7788633440).

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

4428520096 is a wasteful number, since it uses less digits than its factorization.

4428520096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4428520096 is about 66547.1268801291. The cubic root of 4428520096 is about 1642.1753919593.

The spelling of 4428520096 in words is "four billion, four hundred twenty-eight million, five hundred twenty thousand, ninety-six".