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2028081888 = 25357193753
BaseRepresentation
bin111100011100010…
…0001001011100000
312020100012020100000
41320320201023200
513123142110023
6533124500000
7101154261120
oct17070411340
95210166300
102028081888
11950887a38
1248724a600
1326422a271
141534c8c80
15bd0ad243
hex78e212e0

2028081888 has 576 divisors, whose sum is σ = 7529034240. Its totient is φ = 524040192.

The previous prime is 2028081859. The next prime is 2028081889. The reversal of 2028081888 is 8881808202.

It is a happy number.

It is a super-2 number, since 2×20280818882 = 8226232288867289088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028081889) 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 95 ways as a sum of consecutive naturals, for example, 38265670 + ... + 38265722.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 22028081888 is an apocalyptic number.

2028081888 is a gapful number since it is divisible by the number (28) 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 2028081888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764517120).

2028081888 is an abundant number, since it is smaller than the sum of its proper divisors (5500952352).

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

2028081888 is a wasteful number, since it uses less digits than its factorization.

2028081888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 2028081888 is about 45034.2301810523. The cubic root of 2028081888 is about 1265.7904911498.

The spelling of 2028081888 in words is "two billion, twenty-eight million, eighty-one thousand, eight hundred eighty-eight".