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5290487136 = 25361153389
BaseRepresentation
bin1001110110101011…
…00110110101100000
3111122200222121000000
410323111212311200
541313331042021
62232545300000
7245050253514
oct47325466540
914580877000
105290487136
112275384320
121037934600
136640a877c
143828ba144
1520e6d6b26
hex13b566d60

5290487136 has 336 divisors, whose sum is σ = 17402046480. Its totient is φ = 1568885760.

The previous prime is 5290487123. The next prime is 5290487141. The reversal of 5290487136 is 6317840925.

5290487136 is a `hidden beast` number, since 52 + 90 + 487 + 1 + 36 = 666.

5290487136 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5290487136 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5290487091 and 5290487100.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 13600030 + ... + 13600418.

It is an arithmetic number, because the mean of its divisors is an integer number (51791805).

It is a 1-persistent number, because it is pandigital, but 2⋅5290487136 = 10580974272 is not.

Almost surely, 25290487136 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 5290487136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701023240).

5290487136 is an abundant number, since it is smaller than the sum of its proper divisors (12111559344).

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

5290487136 is a wasteful number, since it uses less digits than its factorization.

5290487136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5290487136 is about 72735.7349313252. The cubic root of 5290487136 is about 1742.4696440983.

The spelling of 5290487136 in words is "five billion, two hundred ninety million, four hundred eighty-seven thousand, one hundred thirty-six".