Search a number
-
+
542241567 = 3374366721
BaseRepresentation
bin100000010100011…
…111001100011111
31101210022201121000
4200110133030133
52102303212232
6125450041343
716302656130
oct4024371437
91353281530
10542241567
1125909912a
12131719253
1388454cca
145202dc87
153290e27c
hex2051f31f

542241567 has 32 divisors (see below), whose sum is σ = 939445760. Its totient is φ = 302641920.

The previous prime is 542241547. The next prime is 542241577. The reversal of 542241567 is 765142245.

It is a happy number.

542241567 is a `hidden beast` number, since 54 + 2 + 2 + 41 + 567 = 666.

542241567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 542241567 - 211 = 542239519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542241547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25234 + ... + 41487.

It is an arithmetic number, because the mean of its divisors is an integer number (29357680).

Almost surely, 2542241567 is an apocalyptic number.

542241567 is a deficient number, since it is larger than the sum of its proper divisors (397204193).

542241567 is a wasteful number, since it uses less digits than its factorization.

542241567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66780 (or 66774 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 542241567 is about 23286.0809712583. The cubic root of 542241567 is about 815.4504977982.

The spelling of 542241567 in words is "five hundred forty-two million, two hundred forty-one thousand, five hundred sixty-seven".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 66721 200163 467047 600489 1401141 1801467 2869003 4203423 8607009 12610269 20083021 25821027 60249063 77463081 180747189 542241567