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542725560 = 2332513891303
BaseRepresentation
bin100000010110010…
…101010110111000
31101211020022111200
4200112111112320
52102414204220
6125504254200
716310043156
oct4026252670
91354208450
10542725560
11259399823
12131911360
13885943b0
14521183d6
15329a7890
hex205955b8

542725560 has 192 divisors, whose sum is σ = 1922356800. Its totient is φ = 131991552.

The previous prime is 542725543. The next prime is 542725567. The reversal of 542725560 is 65527245.

542725560 is a `hidden beast` number, since 54 + 27 + 25 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542725567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 415869 + ... + 417171.

It is an arithmetic number, because the mean of its divisors is an integer number (10012275).

Almost surely, 2542725560 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 542725560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961178400).

542725560 is an abundant number, since it is smaller than the sum of its proper divisors (1379631240).

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

542725560 is a wasteful number, since it uses less digits than its factorization.

542725560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 542725560 is about 23296.4709773820. The cubic root of 542725560 is about 815.6930434271.

The spelling of 542725560 in words is "five hundred forty-two million, seven hundred twenty-five thousand, five hundred sixty".