Search a number
-
+
2428422528 = 273717192797
BaseRepresentation
bin1001000010111110…
…1100100110000000
320021020111122110010
42100233230212000
514433134010103
61040545304520
7114115152030
oct22057544600
96236448403
102428422528
111036865874
12579335140
132c915a90c
1419073b8c0
15e32dc903
hex90bec980

2428422528 has 256 divisors, whose sum is σ = 8219404800. Its totient is φ = 618430464.

The previous prime is 2428422527. The next prime is 2428422569. The reversal of 2428422528 is 8252248242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428422527) 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 31 ways as a sum of consecutive naturals, for example, 866826 + ... + 869622.

It is an arithmetic number, because the mean of its divisors is an integer number (32107050).

Almost surely, 22428422528 is an apocalyptic number.

2428422528 is a gapful number since it is divisible by the number (28) 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 2428422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109702400).

2428422528 is an abundant number, since it is smaller than the sum of its proper divisors (5790982272).

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

2428422528 is a wasteful number, since it uses less digits than its factorization.

2428422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2845 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 2428422528 is about 49279.0272631269. The cubic root of 2428422528 is about 1344.1304436884.

The spelling of 2428422528 in words is "two billion, four hundred twenty-eight million, four hundred twenty-two thousand, five hundred twenty-eight".