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542538765 = 32517709201
BaseRepresentation
bin100000010101100…
…111110000001101
31101210212211021100
4200111213300031
52102342220030
6125500253313
716305334446
oct4025476015
91353784240
10542538765
1125928144a
12131841239
138852a372
14520aa2cd
153296c360
hex20567c0d

542538765 has 24 divisors (see below), whose sum is σ = 995719608. Its totient is φ = 272332800.

The previous prime is 542538739. The next prime is 542538779. The reversal of 542538765 is 567835245.

542538765 is a `hidden beast` number, since 5 + 42 + 538 + 76 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147403881 + 395134884 = 12141^2 + 19878^2 .

It is not a de Polignac number, because 542538765 - 27 = 542538637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 542538765.

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 23 ways as a sum of consecutive naturals, for example, 353836 + ... + 355365.

It is an arithmetic number, because the mean of its divisors is an integer number (41488317).

Almost surely, 2542538765 is an apocalyptic number.

It is an amenable number.

542538765 is a deficient number, since it is larger than the sum of its proper divisors (453180843).

542538765 is a wasteful number, since it uses less digits than its factorization.

542538765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709229 (or 709226 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 542538765 is about 23292.4615487501. The cubic root of 542538765 is about 815.5994510868.

The spelling of 542538765 in words is "five hundred forty-two million, five hundred thirty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 709201 2127603 3546005 6382809 10638015 12056417 31914045 36169251 60282085 108507753 180846255 542538765