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542550960 = 243757443
BaseRepresentation
bin100000010101101…
…010101110110000
31101210220110000000
4200111222232300
52102343112320
6125500430000
716305415140
oct4025525660
91353813000
10542550960
1125928a626
12131848300
1388532a93
14520b0920
1532970c90
hex2056abb0

542550960 has 320 divisors, whose sum is σ = 2167004160. Its totient is φ = 123731712.

The previous prime is 542550959. The next prime is 542550977. The reversal of 542550960 is 69055245.

542550960 is a `hidden beast` number, since 5 + 42 + 550 + 9 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224499 + ... + 1224941.

It is an arithmetic number, because the mean of its divisors is an integer number (6771888).

Almost surely, 2542550960 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 542550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083502080).

542550960 is an abundant number, since it is smaller than the sum of its proper divisors (1624453200).

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

542550960 is an equidigital number, since it uses as much as digits as its factorization.

542550960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 542550960 is about 23292.7233272539. The cubic root of 542550960 is about 815.6055619624.

The spelling of 542550960 in words is "five hundred forty-two million, five hundred fifty thousand, nine hundred sixty".