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505505056 = 2572778147
BaseRepresentation
bin11110001000010…
…110010100100000
31022020012022120111
4132020112110200
52013402130211
6122054421104
715345502450
oct3610262440
91266168514
10505505056
1123a387481
12121361794
1380961a24
144b1c9d60
152e5a4421
hex1e216520

505505056 has 48 divisors (see below), whose sum is σ = 1141632576. Its totient is φ = 215836416.

The previous prime is 505505041. The next prime is 505505083. The reversal of 505505056 is 650505505.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57975 + ... + 66121.

It is an arithmetic number, because the mean of its divisors is an integer number (23784012).

Almost surely, 2505505056 is an apocalyptic number.

505505056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570816288).

505505056 is an abundant number, since it is smaller than the sum of its proper divisors (636127520).

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

505505056 is a wasteful number, since it uses less digits than its factorization.

505505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The square root of 505505056 is about 22483.4395945104. The cubic root of 505505056 is about 796.6028109701.

The spelling of 505505056 in words is "five hundred five million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3878 4432 7756 8147 8864 15512 16294 31024 32588 57029 62048 65176 114058 130352 228116 260704 456232 912464 1824928 2256719 4513438 9026876 15797033 18053752 31594066 36107504 63188132 72215008 126376264 252752528 505505056