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425530080 = 2532519103151
BaseRepresentation
bin11001010111010…
…001001011100000
31002122201011112100
4121113101023200
51332413430310
6110120330400
713354642323
oct3127211340
91078634470
10425530080
111a9223058
12ba613a00
136a20cb61
144072c7ba
1527557ec0
hex195d12e0

425530080 has 288 divisors, whose sum is σ = 1553610240. Its totient is φ = 105753600.

The previous prime is 425530037. The next prime is 425530097. The reversal of 425530080 is 80035524.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2818005 + ... + 2818155.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2425530080 is an apocalyptic number.

425530080 is a gapful number since it is divisible by the number (40) 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 425530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

425530080 is an abundant number, since it is smaller than the sum of its proper divisors (1128080160).

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

425530080 is a wasteful number, since it uses less digits than its factorization.

425530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 425530080 is about 20628.3804502438. The cubic root of 425530080 is about 752.1597480148.

The spelling of 425530080 in words is "four hundred twenty-five million, five hundred thirty thousand, eighty".