Search a number
-
+
5281405038 = 2337132383563
BaseRepresentation
bin1001110101100101…
…11101100001101110
3111122001220011201000
410322302331201232
541304014430123
62232022501130
7244610126220
oct47262754156
914561804630
105281405038
112270240858
1210348947a6
13662248950
143815d4410
1520d9e0b43
hex13acbd86e

5281405038 has 256 divisors, whose sum is σ = 15281602560. Its totient is φ = 1313947008.

The previous prime is 5281405027. The next prime is 5281405057. The reversal of 5281405038 is 8305041825.

It is a happy number.

5281405038 is a `hidden beast` number, since 5 + 2 + 8 + 140 + 503 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5281404993 and 5281405011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9380545 + ... + 9381107.

It is an arithmetic number, because the mean of its divisors is an integer number (59693760).

Almost surely, 25281405038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5281405038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640801280).

5281405038 is an abundant number, since it is smaller than the sum of its proper divisors (10000197522).

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

5281405038 is a wasteful number, since it uses less digits than its factorization.

5281405038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5281405038 is about 72673.2759547827. The cubic root of 5281405038 is about 1741.4719826996.

The spelling of 5281405038 in words is "five billion, two hundred eighty-one million, four hundred five thousand, thirty-eight".