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638790300 = 223452174639
BaseRepresentation
bin100110000100110…
…010101010011100
31122111222220120000
4212010302222130
52302012242200
6143215254300
721554425251
oct4604625234
91574886500
10638790300
112a8642675
12159b1a390
13a245a935
1460ba3428
153b131300
hex26132a9c

638790300 has 180 divisors, whose sum is σ = 2192984640. Its totient is φ = 160289280.

The previous prime is 638790289. The next prime is 638790307. The reversal of 638790300 is 3097836.

638790300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638790307) 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 59 ways as a sum of consecutive naturals, for example, 135381 + ... + 140019.

It is an arithmetic number, because the mean of its divisors is an integer number (12183248).

Almost surely, 2638790300 is an apocalyptic number.

638790300 is a gapful number since it is divisible by the number (60) 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 638790300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096492320).

638790300 is an abundant number, since it is smaller than the sum of its proper divisors (1554194340).

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

638790300 is a wasteful number, since it uses less digits than its factorization.

638790300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 638790300 is about 25274.3011772828. The cubic root of 638790300 is about 861.2305711325.

The spelling of 638790300 in words is "six hundred thirty-eight million, seven hundred ninety thousand, three hundred".