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5432942592 = 21333711229
BaseRepresentation
bin1010000111101010…
…00010000000000000
3112000122001002011000
411003311002000000
542111313130332
62255034452000
7251430151530
oct50365020000
915018032130
105432942592
112338833200
121077594000
1368776563c
1439779d4c0
1521be75b7c
hex143d42000

5432942592 has 672 divisors, whose sum is σ = 20917814400. Its totient is φ = 1362493440.

The previous prime is 5432942561. The next prime is 5432942597. The reversal of 5432942592 is 2952492345.

5432942592 is a `hidden beast` number, since 54 + 3 + 2 + 9 + 4 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (5432942597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187342834 + ... + 187342862.

It is an arithmetic number, because the mean of its divisors is an integer number (31127700).

Almost surely, 25432942592 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 5432942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458907200).

5432942592 is an abundant number, since it is smaller than the sum of its proper divisors (15484871808).

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

5432942592 is a wasteful number, since it uses less digits than its factorization.

5432942592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 5432942592 is about 73708.4974205824. The cubic root of 5432942592 is about 1757.9709951067.

The spelling of 5432942592 in words is "five billion, four hundred thirty-two million, nine hundred forty-two thousand, five hundred ninety-two".