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505495566 = 23410928627
BaseRepresentation
bin11110001000010…
…100000000001110
31022020011211120000
4132020110000032
52013401324231
6122054305130
715345433002
oct3610240016
91266154500
10505495566
1123a380334
121213581a6
138095a604
144b1c6702
152e5a16e6
hex1e21400e

505495566 has 40 divisors (see below), whose sum is σ = 1143116040. Its totient is φ = 166946832.

The previous prime is 505495553. The next prime is 505495567. The reversal of 505495566 is 665594505.

505495566 is a `hidden beast` number, since 50 + 5 + 49 + 556 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505495567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3345 + ... + 31971.

It is an arithmetic number, because the mean of its divisors is an integer number (28577901).

Almost surely, 2505495566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505495566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571558020).

505495566 is an abundant number, since it is smaller than the sum of its proper divisors (637620474).

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

505495566 is a wasteful number, since it uses less digits than its factorization.

505495566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28750 (or 28741 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 505495566 is about 22483.2285492987. The cubic root of 505495566 is about 796.5978259834.

The spelling of 505495566 in words is "five hundred five million, four hundred ninety-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 17658 28627 57254 85881 171762 257643 515286 772929 1545858 2318787 3120343 4637574 6240686 9361029 18722058 28083087 56166174 84249261 168498522 252747783 505495566