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128482848 = 2535133141
BaseRepresentation
bin1111010100001…
…11111000100000
322221202121100000
413222013320200
5230342422343
620425500000
73120041364
oct752077040
9287677300
10128482848
116658607a
1237041600
1320807070
14130c72a4
15b42ded3
hex7a87e20

128482848 has 288 divisors, whose sum is σ = 431488512. Its totient is φ = 37324800.

The previous prime is 128482841. The next prime is 128482859. The reversal of 128482848 is 848284821.

128482848 is a `hidden beast` number, since 128 + 482 + 8 + 48 = 666.

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

It is a super-2 number, since 2×1284828482 = 33015684460382208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128482841) by changing a digit.

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, 3133708 + ... + 3133748.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 2128482848 is an apocalyptic number.

128482848 is a gapful number since it is divisible by the number (18) 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 128482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215744256).

128482848 is an abundant number, since it is smaller than the sum of its proper divisors (303005664).

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

128482848 is a wasteful number, since it uses less digits than its factorization.

128482848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 128482848 is about 11335.0274812194. The cubic root of 128482848 is about 504.6013230916.

The spelling of 128482848 in words is "one hundred twenty-eight million, four hundred eighty-two thousand, eight hundred forty-eight".