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545421600 = 25345219443
BaseRepresentation
bin100000100000100…
…111100100100000
31102000022021210000
4200200213210200
52104111442400
6130042140000
716342002303
oct4040474440
91360267700
10545421600
1125a970359
121327b1600
1388cc9599
145261ab3a
1532d3b600
hex20827920

545421600 has 360 divisors, whose sum is σ = 2098459440. Its totient is φ = 137479680.

The previous prime is 545421529. The next prime is 545421601. The reversal of 545421600 is 6124545.

545421600 is a `hidden beast` number, since 5 + 4 + 54 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (545421601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1230979 + ... + 1231421.

It is an arithmetic number, because the mean of its divisors is an integer number (5829054).

Almost surely, 2545421600 is an apocalyptic number.

545421600 is a gapful number since it is divisible by the number (50) 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 545421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049229720).

545421600 is an abundant number, since it is smaller than the sum of its proper divisors (1553037840).

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

545421600 is a wasteful number, since it uses less digits than its factorization.

545421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 545421600 is about 23354.2629941516. The cubic root of 545421600 is about 817.0414902122.

The spelling of 545421600 in words is "five hundred forty-five million, four hundred twenty-one thousand, six hundred".