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5433088752 = 243271317293
BaseRepresentation
bin1010000111101011…
…00101101011110000
3112000122022111122100
411003311211223300
542111332320002
62255041540400
7251431330620
oct50365455360
915018274570
105433088752
112338922aa3
121077644700
136877b7020
143977da880
1521bea411c
hex143d65af0

5433088752 has 480 divisors, whose sum is σ = 20522436480. Its totient is φ = 1302110208.

The previous prime is 5433088733. The next prime is 5433088753. The reversal of 5433088752 is 2578803345.

5433088752 is a `hidden beast` number, since 543 + 30 + 8 + 8 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5433088698 and 5433088707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5433088753) 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 95 ways as a sum of consecutive naturals, for example, 187347874 + ... + 187347902.

It is an arithmetic number, because the mean of its divisors is an integer number (42755076).

Almost surely, 25433088752 is an apocalyptic number.

5433088752 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 5433088752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261218240).

5433088752 is an abundant number, since it is smaller than the sum of its proper divisors (15089347728).

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

5433088752 is a wasteful number, since it uses less digits than its factorization.

5433088752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5433088752 is about 73709.4888871168. The cubic root of 5433088752 is about 1757.9867595985.

The spelling of 5433088752 in words is "five billion, four hundred thirty-three million, eighty-eight thousand, seven hundred fifty-two".