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4389621984 = 253511193773
BaseRepresentation
bin1000001011010010…
…00101000011100000
3102022220211220100000
410011221011003200
532442220400414
62003324500000
7213531112506
oct40551050340
912286756300
104389621984
111952910a70
12a260aa600
1354c56b377
142d8db6676
151aa588b09
hex105a450e0

4389621984 has 576 divisors, whose sum is σ = 15476348160. Its totient is φ = 1209323520.

The previous prime is 4389621983. The next prime is 4389621989. The reversal of 4389621984 is 4891269834.

4389621984 is a `hidden beast` number, since 4 + 3 + 8 + 9 + 621 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4389621984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4389621983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60131772 + ... + 60131844.

It is an arithmetic number, because the mean of its divisors is an integer number (26868660).

Almost surely, 24389621984 is an apocalyptic number.

4389621984 is a gapful number since it is divisible by the number (44) 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 4389621984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738174080).

4389621984 is an abundant number, since it is smaller than the sum of its proper divisors (11086726176).

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

4389621984 is a wasteful number, since it uses less digits than its factorization.

4389621984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4389621984 is about 66254.2223861997. Note that the first 3 decimals coincide. The cubic root of 4389621984 is about 1637.3532043611.

The spelling of 4389621984 in words is "four billion, three hundred eighty-nine million, six hundred twenty-one thousand, nine hundred eighty-four".