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5430127248 = 2434713411123
BaseRepresentation
bin1010000111010100…
…10010101010010000
3112000102202001020000
411003222102222100
542110103032443
62254454250000
7251364214530
oct50352225220
915012661200
105430127248
11233718aa77
121076656900
13686cbb060
143972694c0
1521babb8d3
hex143a92a90

5430127248 has 400 divisors, whose sum is σ = 19832647296. Its totient is φ = 1395947520.

The previous prime is 5430127237. The next prime is 5430127273. The reversal of 5430127248 is 8427210345.

It is a happy number.

5430127248 is a `hidden beast` number, since 543 + 0 + 1 + 2 + 72 + 48 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4834815 + ... + 4835937.

Almost surely, 25430127248 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 5430127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916323648).

5430127248 is an abundant number, since it is smaller than the sum of its proper divisors (14402520048).

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

5430127248 is a wasteful number, since it uses less digits than its factorization.

5430127248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5430127248 is about 73689.3971206170. The cubic root of 5430127248 is about 1757.6672831887.

The spelling of 5430127248 in words is "five billion, four hundred thirty million, one hundred twenty-seven thousand, two hundred forty-eight".