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545248080 = 243251324481
BaseRepresentation
bin100000011111111…
…101001101010000
31101222222110202100
4200133331031100
52104040414310
6130034320400
716340350356
oct4037751520
91358873670
10545248080
1125a861a53
12132729100
1388c68600
14525b37d6
1532d04ec0
hex207fd350

545248080 has 180 divisors, whose sum is σ = 1983258108. Its totient is φ = 134184960.

The previous prime is 545248049. The next prime is 545248091. The reversal of 545248080 is 80842545.

545248080 is a `hidden beast` number, since 54 + 52 + 480 + 80 = 666.

545248080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 50808384 + 494439696 = 7128^2 + 22236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119440 + ... + 123920.

Almost surely, 2545248080 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 545248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991629054).

545248080 is an abundant number, since it is smaller than the sum of its proper divisors (1438010028).

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

545248080 is a wasteful number, since it uses less digits than its factorization.

545248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 545248080 is about 23350.5477451815. The cubic root of 545248080 is about 816.9548367093.

The spelling of 545248080 in words is "five hundred forty-five million, two hundred forty-eight thousand, eighty".