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5300503824 = 2437112322711
BaseRepresentation
bin1001110111110111…
…10100010100010000
3111200101211111022110
410323323310110100
541323412110244
62233544105320
7245231352630
oct47373642420
914611744273
105300503824
11227aaa5a80
12103b165240
136661a4ac5
14383d666c0
152105149b9
hex13bef4510

5300503824 has 240 divisors, whose sum is σ = 17852857344. Its totient is φ = 1316409600.

The previous prime is 5300503811. The next prime is 5300503829. The reversal of 5300503824 is 4283050035.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5300503791 and 5300503800.

It is not an unprimeable number, because it can be changed into a prime (5300503829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953829 + ... + 1956539.

Almost surely, 25300503824 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 5300503824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926428672).

5300503824 is an abundant number, since it is smaller than the sum of its proper divisors (12552353520).

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

5300503824 is a wasteful number, since it uses less digits than its factorization.

5300503824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5300503824 is about 72804.5590880132. The cubic root of 5300503824 is about 1743.5686463005.

Adding to 5300503824 its reverse (4283050035), we get a palindrome (9583553859).

The spelling of 5300503824 in words is "five billion, three hundred million, five hundred three thousand, eight hundred twenty-four".