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505072652 = 227171517027
BaseRepresentation
bin11110000110101…
…100110000001100
31022012101100102112
4132012230300030
52013244311102
6122041243152
715342022010
oct3606546014
91265340375
10505072652
1123a111617
121211934b8
138083cc76
144b116540
152e51b252
hex1e1acc0c

505072652 has 48 divisors (see below), whose sum is σ = 1076802048. Its totient is φ = 202348800.

The previous prime is 505072637. The next prime is 505072657. The reversal of 505072652 is 256270505.

It is not an unprimeable number, because it can be changed into a prime (505072657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68363 + ... + 75389.

It is an arithmetic number, because the mean of its divisors is an integer number (22433376).

Almost surely, 2505072652 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 505072652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538401024).

505072652 is an abundant number, since it is smaller than the sum of its proper divisors (571729396).

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

505072652 is a wasteful number, since it uses less digits than its factorization.

505072652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 505072652 is about 22473.8214818931. The cubic root of 505072652 is about 796.3756108009.

The spelling of 505072652 in words is "five hundred five million, seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 151 238 302 476 604 1057 2114 2567 4228 5134 7027 10268 14054 17969 28108 35938 49189 71876 98378 119459 196756 238918 477836 836213 1061077 1672426 2122154 3344852 4244308 7427539 14855078 18038309 29710156 36076618 72153236 126268163 252536326 505072652