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4389880320 = 29335743211
BaseRepresentation
bin1000001011010100…
…00100001000000000
3102022221100000201000
410011222010020000
532442302132240
62003334212000
7213533236620
oct40552041000
912287300630
104389880320
111952a78071
12a261b4000
1354c62bb27
142d9042880
151aa5da430
hex105a84200

4389880320 has 640 divisors, whose sum is σ = 18321684480. Its totient is φ = 975421440.

The previous prime is 4389880259. The next prime is 4389880321. The reversal of 4389880320 is 230889834.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4389880321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20805015 + ... + 20805225.

It is an arithmetic number, because the mean of its divisors is an integer number (28627632).

Almost surely, 24389880320 is an apocalyptic number.

4389880320 is a gapful number since it is divisible by the number (40) 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 4389880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160842240).

4389880320 is an abundant number, since it is smaller than the sum of its proper divisors (13931804160).

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

4389880320 is a wasteful number, since it uses less digits than its factorization.

4389880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4389880320 is about 66256.1719389220. The cubic root of 4389880320 is about 1637.3853239818.

The spelling of 4389880320 in words is "four billion, three hundred eighty-nine million, eight hundred eighty thousand, three hundred twenty".