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5438038320 = 24325111352817
BaseRepresentation
bin1010001000010000…
…11110000100110000
3112000222121222011200
411010020132010300
542114114211240
62255340011200
7251521364061
oct50410360460
915028558150
105438038320
1123406a3750
121079230b00
1368882ab70
14398328568
1521c630930
hex14421e130

5438038320 has 240 divisors, whose sum is σ = 21455939232. Its totient is φ = 1216880640.

The previous prime is 5438038283. The next prime is 5438038343. The reversal of 5438038320 is 238308345.

5438038320 is a `hidden beast` number, since 543 + 80 + 3 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76552 + ... + 129368.

Almost surely, 25438038320 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 5438038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727969616).

5438038320 is an abundant number, since it is smaller than the sum of its proper divisors (16017900912).

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

5438038320 is a wasteful number, since it uses less digits than its factorization.

5438038320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52860 (or 52851 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5438038320 is about 73743.0560798778. The cubic root of 5438038320 is about 1758.5204421527.

The spelling of 5438038320 in words is "five billion, four hundred thirty-eight million, thirty-eight thousand, three hundred twenty".