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5282832096 = 2533232989103
BaseRepresentation
bin1001110101110000…
…11001111011100000
3111122011120200021000
410322320121323200
541304401111341
62232113232000
7244625221563
oct47270317340
914564520230
105282832096
112271025a43
121035262600
13662628369
143818864da
1520dbc38b6
hex13ae19ee0

5282832096 has 384 divisors, whose sum is σ = 16982784000. Its totient is φ = 1592414208.

The previous prime is 5282832019. The next prime is 5282832097. The reversal of 5282832096 is 6902382825.

It is a happy number.

5282832096 is a `hidden beast` number, since 528 + 2 + 8 + 32 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282832097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51289581 + ... + 51289683.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 25282832096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5282832096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

5282832096 is an abundant number, since it is smaller than the sum of its proper divisors (11699951904).

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

5282832096 is a wasteful number, since it uses less digits than its factorization.

5282832096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5282832096 is about 72683.0936050468. The cubic root of 5282832096 is about 1741.6288196085.

The spelling of 5282832096 in words is "five billion, two hundred eighty-two million, eight hundred thirty-two thousand, ninety-six".