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4049365824 = 263373110799
BaseRepresentation
bin1111000101011100…
…0110101101000000
3101110012121002122000
43301113012231000
531243114201244
61505451544000
7202230020160
oct36127065500
911405532560
104049365824
111798841529
1295015b000
134c6c1726a
142a5b245a0
1518a777169
hexf15c6b40

4049365824 has 224 divisors, whose sum is σ = 14045184000. Its totient is φ = 1119536640.

The previous prime is 4049365799. The next prime is 4049365829. The reversal of 4049365824 is 4285639404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4049365824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049365829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369577 + ... + 380375.

Almost surely, 24049365824 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 4049365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592000).

4049365824 is an abundant number, since it is smaller than the sum of its proper divisors (9995818176).

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

4049365824 is a wasteful number, since it uses less digits than its factorization.

4049365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4049365824 is about 63634.6275545005. The cubic root of 4049365824 is about 1593.9046503493.

The spelling of 4049365824 in words is "four billion, forty-nine million, three hundred sixty-five thousand, eight hundred twenty-four".