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5028480000 = 210345497
BaseRepresentation
bin1001010111011100…
…01000010000000000
3110222102222020210000
410223232020100000
540244242330000
62150545440000
7235416242355
oct45356102000
913872866700
105028480000
11215049a4a5
12b84040000
13621a20a6b
14359b9662c
151e66d0000
hex12bb88400

5028480000 has 550 divisors, whose sum is σ = 18957467606. Its totient is φ = 1327104000.

The previous prime is 5028479987. The next prime is 5028480007. The reversal of 5028480000 is 848205.

5028480000 is a `hidden beast` number, since 502 + 84 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2096907264 + 2931572736 = 45792^2 + 54144^2 .

It is a super-2 number, since 2×50284800002 = 50571222220800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5028480007) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 51839952 + ... + 51840048.

Almost surely, 25028480000 is an apocalyptic number.

5028480000 is a gapful number since it is divisible by the number (50) 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 5028480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478733803).

5028480000 is an abundant number, since it is smaller than the sum of its proper divisors (13928987606).

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

5028480000 is an frugal number, since it uses more digits than its factorization.

5028480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5028480000 is about 70911.7761729320. The cubic root of 5028480000 is about 1713.2164760881.

The spelling of 5028480000 in words is "five billion, twenty-eight million, four hundred eighty thousand".