Search a number
-
+
505042524 = 223272004137
BaseRepresentation
bin11110000110100…
…101011001011100
31022012022211002200
4132012211121130
52013242330044
6122040451500
715341535120
oct3606453134
91265284080
10505042524
1123a0a0a18
12121179b90
138082c33c
144b109580
152e512369
hex1e1a565c

505042524 has 36 divisors (see below), whose sum is σ = 1459012464. Its totient is φ = 144297792.

The previous prime is 505042523. The next prime is 505042547. The reversal of 505042524 is 425240505.

505042524 is a `hidden beast` number, since 50 + 50 + 42 + 524 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505042523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001817 + ... + 1002320.

It is an arithmetic number, because the mean of its divisors is an integer number (40528124).

Almost surely, 2505042524 is an apocalyptic number.

It is an amenable number.

505042524 is an abundant number, since it is smaller than the sum of its proper divisors (953969940).

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

505042524 is a wasteful number, since it uses less digits than its factorization.

505042524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004154 (or 2004149 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 505042524 is about 22473.1511809092. The cubic root of 505042524 is about 796.3597756655.

It can be divided in two parts, 5050 and 42524, that added together give a palindrome (47574).

The spelling of 505042524 in words is "five hundred five million, forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2004137 4008274 6012411 8016548 12024822 14028959 18037233 24049644 28057918 36074466 42086877 56115836 72148932 84173754 126260631 168347508 252521262 505042524