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5432892192 = 2532713239013
BaseRepresentation
bin1010000111101001…
…10101101100100000
3112000121221112000100
411003310311230200
542111310022232
62255033422400
7251426551560
oct50364655440
915017845010
105432892192
1123387a9352
12107756aa00
13687748710
14397788da0
1521be65c7c
hex143d35b20

5432892192 has 288 divisors, whose sum is σ = 19844068608. Its totient is φ = 1370400768.

The previous prime is 5432892191. The next prime is 5432892209. The reversal of 5432892192 is 2912982345.

5432892192 is a `hidden beast` number, since 54 + 328 + 92 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5432892191) 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, 598278 + ... + 607290.

It is an arithmetic number, because the mean of its divisors is an integer number (68903016).

Almost surely, 25432892192 is an apocalyptic number.

5432892192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432892192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9922034304).

5432892192 is an abundant number, since it is smaller than the sum of its proper divisors (14411176416).

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

5432892192 is a wasteful number, since it uses less digits than its factorization.

5432892192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072 (or 9061 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5432892192 is about 73708.1555324782. The cubic root of 5432892192 is about 1757.9655590095.

The spelling of 5432892192 in words is "five billion, four hundred thirty-two million, eight hundred ninety-two thousand, one hundred ninety-two".