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9482250960 = 24335713192539
BaseRepresentation
bin10001101010010111…
…11010101011010000
3220110211112020222000
420311023322223100
5123404424012320
64204525314000
7453656542350
oct106513725320
926424466860
109482250960
114026535546
121a07705900
13b8165c6b0
1465d4aab60
153a76dac90
hex2352faad0

9482250960 has 640 divisors, whose sum is σ = 42330624000. Its totient is φ = 1894606848.

The previous prime is 9482250937. The next prime is 9482250991. The reversal of 9482250960 is 690522849.

9482250960 is a `hidden beast` number, since 9 + 4 + 82 + 2 + 509 + 60 = 666.

9482250960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3733371 + ... + 3735909.

It is an arithmetic number, because the mean of its divisors is an integer number (66141600).

Almost surely, 29482250960 is an apocalyptic number.

9482250960 is a gapful number since it is divisible by the number (90) 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 9482250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312000).

9482250960 is an abundant number, since it is smaller than the sum of its proper divisors (32848373040).

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

9482250960 is a wasteful number, since it uses less digits than its factorization.

9482250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9482250960 is about 97376.8502263243. The cubic root of 9482250960 is about 2116.5919908624.

The spelling of 9482250960 in words is "nine billion, four hundred eighty-two million, two hundred fifty thousand, nine hundred sixty".