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1482541056 = 21137331
BaseRepresentation
bin101100001011101…
…1100100000000000
310211022122220000000
41120113130200000
511014012303211
6403040000000
751511251063
oct13027344000
93738586000
101482541056
116a0946047
12354600000
131a81bb639
14100c7a8da
158a24b656
hex585dc800

1482541056 has 192 divisors, whose sum is σ = 4459291200. Its totient is φ = 492687360.

The previous prime is 1482541051. The next prime is 1482541079. The reversal of 1482541056 is 6501452841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1482541056.

It is not an unprimeable number, because it can be changed into a prime (1482541051) 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 15 ways as a sum of consecutive naturals, for example, 4478811 + ... + 4479141.

It is an arithmetic number, because the mean of its divisors is an integer number (23225475).

Almost surely, 21482541056 is an apocalyptic number.

1482541056 is a gapful number since it is divisible by the number (16) 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 1482541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229645600).

1482541056 is an abundant number, since it is smaller than the sum of its proper divisors (2976750144).

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

1482541056 is an frugal number, since it uses more digits than its factorization.

1482541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1482541056 is about 38503.7797625116. The cubic root of 1482541056 is about 1140.2556767251.

Adding to 1482541056 its reverse (6501452841), we get a palindrome (7983993897).

The spelling of 1482541056 in words is "one billion, four hundred eighty-two million, five hundred forty-one thousand, fifty-six".