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5303844000 = 2532537131619
BaseRepresentation
bin1001111000010001…
…00011110010100000
3111200122010012011200
410330020203302200
541330241002000
62234143441200
7245301634020
oct47410436240
914618105150
105303844000
112281977554
1210402b6200
13666aa4240
14384595a80
15210974500
hex13c223ca0

5303844000 has 576 divisors, whose sum is σ = 23181500160. Its totient is φ = 1118361600.

The previous prime is 5303843983. The next prime is 5303844011. The reversal of 5303844000 is 4483035.

It is a happy number.

It is a super-2 number, since 2×53038440002 = 56261522352672000000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3275191 + ... + 3276809.

It is an arithmetic number, because the mean of its divisors is an integer number (40245660).

Almost surely, 25303844000 is an apocalyptic number.

5303844000 is a gapful number since it is divisible by the number (50) 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 5303844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590750080).

5303844000 is an abundant number, since it is smaller than the sum of its proper divisors (17877656160).

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

5303844000 is a wasteful number, since it uses less digits than its factorization.

5303844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5303844000 is about 72827.4948079364. The cubic root of 5303844000 is about 1743.9348129550.

The spelling of 5303844000 in words is "five billion, three hundred three million, eight hundred forty-four thousand".