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542265360 = 243572133547
BaseRepresentation
bin100000010100100…
…101000000010000
31101210100221020020
4200110211000100
52102304442420
6125450343440
716303115400
oct4024450020
91353327206
10542265360
11259104a9a
1213172ab80
1388462aa0
1452038800
1532916340
hex20525010

542265360 has 240 divisors, whose sum is σ = 2106490176. Its totient is φ = 114379776.

The previous prime is 542265343. The next prime is 542265379. The reversal of 542265360 is 63562245.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151107 + ... + 154653.

Almost surely, 2542265360 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 542265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053245088).

542265360 is an abundant number, since it is smaller than the sum of its proper divisors (1564224816).

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

542265360 is a wasteful number, since it uses less digits than its factorization.

542265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 542265360 is about 23286.5918502472. The cubic root of 542265360 is about 815.4624246657.

The spelling of 542265360 in words is "five hundred forty-two million, two hundred sixty-five thousand, three hundred sixty".