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545385960 = 233457139173
BaseRepresentation
bin100000100000011…
…110110111101000
31102000020110220000
4200200132313220
52104104322320
6130041303000
716341463350
oct4040366750
91360213800
10545385960
1125a9465a9
12132794a60
1388cb62b2
145260bb60
1532d30c90
hex2081ede8

545385960 has 320 divisors, whose sum is σ = 2122243200. Its totient is φ = 123047424.

The previous prime is 545385941. The next prime is 545385983. The reversal of 545385960 is 69583545.

545385960 is a `hidden beast` number, since 5 + 4 + 53 + 8 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3152434 + ... + 3152606.

It is an arithmetic number, because the mean of its divisors is an integer number (6632010).

Almost surely, 2545385960 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 545385960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061121600).

545385960 is an abundant number, since it is smaller than the sum of its proper divisors (1576857240).

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

545385960 is a wasteful number, since it uses less digits than its factorization.

545385960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 545385960 is about 23353.4999518273. The cubic root of 545385960 is about 817.0236935860.

The spelling of 545385960 in words is "five hundred forty-five million, three hundred eighty-five thousand, nine hundred sixty".