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663249888 = 253272431093
BaseRepresentation
bin100111100010000…
…110001111100000
31201020000120210200
4213202012033200
52324242444023
6145451425200
722302350100
oct4742061740
91636016720
10663249888
11310429504
12166155200
13a7542b72
146412d200
153d363743
hex278863e0

663249888 has 216 divisors, whose sum is σ = 2247132888. Its totient is φ = 184923648.

The previous prime is 663249887. The next prime is 663249893. The reversal of 663249888 is 888942366.

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 (663249887) 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 35 ways as a sum of consecutive naturals, for example, 606270 + ... + 607362.

It is an arithmetic number, because the mean of its divisors is an integer number (10403393).

Almost surely, 2663249888 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 663249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123566444).

663249888 is an abundant number, since it is smaller than the sum of its proper divisors (1583883000).

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

663249888 is a wasteful number, since it uses less digits than its factorization.

663249888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1148 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 663249888 is about 25753.6383449019. The cubic root of 663249888 is about 872.0854922772.

The spelling of 663249888 in words is "six hundred sixty-three million, two hundred forty-nine thousand, eight hundred eighty-eight".