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504534096 = 24351147251
BaseRepresentation
bin11110000100101…
…001010001010000
31022011100222200000
4132010221101100
52013130042341
6122021530000
715334316613
oct3604512120
91264328600
10504534096
11239883a30
12120b73900
13806b1ab1
144b01617a
152e4618b6
hex1e129450

504534096 has 240 divisors, whose sum is σ = 1637895168. Its totient is φ = 149040000.

The previous prime is 504534071. The next prime is 504534097. The reversal of 504534096 is 690435405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 504534096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504534097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2009971 + ... + 2010221.

Almost surely, 2504534096 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 504534096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

504534096 is an abundant number, since it is smaller than the sum of its proper divisors (1133361072).

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

504534096 is a wasteful number, since it uses less digits than its factorization.

504534096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 504534096 is about 22461.8364342722. The cubic root of 504534096 is about 796.0924532564.

The spelling of 504534096 in words is "five hundred four million, five hundred thirty-four thousand, ninety-six".