Search a number
-
+
5313892032 = 2633192331227
BaseRepresentation
bin1001111001011101…
…11000111011000000
3111201100000200111000
410330232320323000
541340324021112
62235143052000
7245453223411
oct47456707300
914640020430
105313892032
11228760a809
121043741000
13668bb1917
14385a4d808
152117ab7dc
hex13cbb8ec0

5313892032 has 448 divisors, whose sum is σ = 17790566400. Its totient is φ = 1546490880.

The previous prime is 5313891983. The next prime is 5313892033. The reversal of 5313892032 is 2302983135.

5313892032 is a `hidden beast` number, since 531 + 3 + 8 + 92 + 0 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5313892033) 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 63 ways as a sum of consecutive naturals, for example, 23409103 + ... + 23409329.

Almost surely, 25313892032 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 5313892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895283200).

5313892032 is an abundant number, since it is smaller than the sum of its proper divisors (12476674368).

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

5313892032 is a wasteful number, since it uses less digits than its factorization.

5313892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5313892032 is about 72896.4473208400. The cubic root of 5313892032 is about 1745.0354020562.

The spelling of 5313892032 in words is "five billion, three hundred thirteen million, eight hundred ninety-two thousand, thirty-two".