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5303022048 = 253523149199
BaseRepresentation
bin1001111000001010…
…11011000111100000
3111200120120102200000
410330011123013200
541330033201143
62234114100000
7245261641452
oct47405330740
914616512600
105303022048
112281465a55
12103bb7a600
1366687708c
143844202d2
15210860bd3
hex13c15b1e0

5303022048 has 288 divisors, whose sum is σ = 16511040000. Its totient is φ = 1671031296.

The previous prime is 5303022029. The next prime is 5303022133. The reversal of 5303022048 is 8402203035.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53030220482 = 56244085683148228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26648253 + ... + 26648451.

It is an arithmetic number, because the mean of its divisors is an integer number (57330000).

Almost surely, 25303022048 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 5303022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520000).

5303022048 is an abundant number, since it is smaller than the sum of its proper divisors (11208017952).

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

5303022048 is a wasteful number, since it uses less digits than its factorization.

5303022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

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

The square root of 5303022048 is about 72821.8514458401. The cubic root of 5303022048 is about 1743.8447207652.

It can be divided in two parts, 53030 and 22048, that added together give a triangular number (75078 = T387).

The spelling of 5303022048 in words is "five billion, three hundred three million, twenty-two thousand, forty-eight".