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8242427088 = 2432719222651
BaseRepresentation
bin1111010110100100…
…10111010011010000
3210021102120200100100
413223102113103100
5113340030131323
63441515452400
7411153321450
oct75322272320
923242520310
108242427088
11354a6a9515
121720457100
13a148338bc
14582971d60
15333935943
hex1eb4974d0

8242427088 has 180 divisors, whose sum is σ = 27824448288. Its totient is φ = 2230934400.

The previous prime is 8242427077. The next prime is 8242427119. The reversal of 8242427088 is 8807242428.

8242427088 is a `hidden beast` number, since 82 + 424 + 2 + 70 + 88 = 666.

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 35 ways as a sum of consecutive naturals, for example, 352563 + ... + 375213.

Almost surely, 28242427088 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 8242427088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912224144).

8242427088 is an abundant number, since it is smaller than the sum of its proper divisors (19582021200).

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

8242427088 is a wasteful number, since it uses less digits than its factorization.

8242427088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22710 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 8242427088 is about 90787.8135434487. The cubic root of 8242427088 is about 2020.0015593230.

The spelling of 8242427088 in words is "eight billion, two hundred forty-two million, four hundred twenty-seven thousand, eighty-eight".