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505050516 = 223217098209
BaseRepresentation
bin11110000110100…
…111010110010100
31022012100020001200
4132012213112110
52013243104031
6122040552500
715341600325
oct3606472624
91265306050
10505050516
1123a0a6a23
12121182730
1380832b79
144b10c44c
152e5148e6
hex1e1a7594

505050516 has 36 divisors (see below), whose sum is σ = 1277558100. Its totient is φ = 168231168.

The previous prime is 505050493. The next prime is 505050517. The reversal of 505050516 is 615050505.

505050516 is a `hidden beast` number, since 50 + 50 + 50 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61779600 + 443270916 = 7860^2 + 21054^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 505050516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505050517) 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, 57420 + ... + 65628.

It is an arithmetic number, because the mean of its divisors is an integer number (35487725).

Almost surely, 2505050516 is an apocalyptic number.

It is an amenable number.

505050516 is an abundant number, since it is smaller than the sum of its proper divisors (772507584).

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

505050516 is a wasteful number, since it uses less digits than its factorization.

505050516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505050516 is about 22473.3289923856. The cubic root of 505050516 is about 796.3639762846.

The spelling of 505050516 in words is "five hundred five million, fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1709 3418 5127 6836 8209 10254 15381 16418 20508 24627 30762 32836 49254 61524 73881 98508 147762 295524 14029181 28058362 42087543 56116724 84175086 126262629 168350172 252525258 505050516