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4449443040 = 253257263059
BaseRepresentation
bin1000010010011010…
…10001110011100000
3102111002102010101200
410021031101303200
533103024134130
62013303001200
7215155433100
oct41115216340
912432363350
104449443040
11198365a459
12a42139200
1355ba84a43
14302d09200
151b0953760
hex109351ce0

4449443040 has 216 divisors, whose sum is σ = 17662979880. Its totient is φ = 1016999424.

The previous prime is 4449443023. The next prime is 4449443071. The reversal of 4449443040 is 403449444.

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

It is a junction number, because it is equal to n+sod(n) for n = 4449442986 and 4449443004.

It is a congruent number.

It is an unprimeable number.

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, 39031 + ... + 102089.

It is an arithmetic number, because the mean of its divisors is an integer number (81773055).

Almost surely, 24449443040 is an apocalyptic number.

4449443040 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 4449443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831489940).

4449443040 is an abundant number, since it is smaller than the sum of its proper divisors (13213536840).

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

4449443040 is a wasteful number, since it uses less digits than its factorization.

4449443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63094 (or 63076 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4449443040 is about 66704.1455983060. The cubic root of 4449443040 is about 1644.7575317894.

The spelling of 4449443040 in words is "four billion, four hundred forty-nine million, four hundred forty-three thousand, forty".