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52500213 = 3241731949
BaseRepresentation
bin1100100001000…
…1011011110101
310122210021202100
43020101123311
5101420001323
65113132313
71205146563
oct310213365
9118707670
1052500213
11276a9207
12156ba099
13ab5241c
146d88a33
154920943
hex32116f5

52500213 has 24 divisors (see below), whose sum is σ = 78787800. Its totient is φ = 33661440.

The previous prime is 52500193. The next prime is 52500229. The reversal of 52500213 is 31200525.

It is a happy number.

52500213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 47651409 = 2202^2 + 6903^2 .

It is not a de Polignac number, because 52500213 - 212 = 52496117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52500293) 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 23 ways as a sum of consecutive naturals, for example, 25963 + ... + 27911.

It is an arithmetic number, because the mean of its divisors is an integer number (3282825).

Almost surely, 252500213 is an apocalyptic number.

It is an amenable number.

52500213 is a deficient number, since it is larger than the sum of its proper divisors (26287587).

52500213 is a wasteful number, since it uses less digits than its factorization.

52500213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52500213 is about 7245.7030714762. The cubic root of 52500213 is about 374.4441257507. Note that the first 3 decimals are identical.

Adding to 52500213 its reverse (31200525), we get a palindrome (83700738).

The spelling of 52500213 in words is "fifty-two million, five hundred thousand, two hundred thirteen".

Divisors: 1 3 9 41 73 123 219 369 657 1949 2993 5847 8979 17541 26937 79909 142277 239727 426831 719181 1280493 5833357 17500071 52500213