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52608153 = 31323223263
BaseRepresentation
bin1100100010101…
…1110010011001
310122222202211010
43020223302121
5101431430103
65115324133
71206106353
oct310536231
9118882733
1052608153
1127772314
1215750649
13ab8c5b0
146db60d3
154942903
hex322bc99

52608153 has 32 divisors (see below), whose sum is σ = 79478784. Its totient is φ = 30710592.

The previous prime is 52608151. The next prime is 52608161. The reversal of 52608153 is 35180625.

52608153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

52608153 is a nontrivial binomial coefficient, being equal to C(10258, 2).

It is not a de Polignac number, because 52608153 - 21 = 52608151 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 52608153.

It is not an unprimeable number, because it can be changed into a prime (52608151) 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 31 ways as a sum of consecutive naturals, for example, 199900 + ... + 200162.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 252608153 is an apocalyptic number.

52608153 is the 10257-th triangular number and also the 5129-th hexagonal number.

It is an amenable number.

52608153 is a deficient number, since it is larger than the sum of its proper divisors (26870631).

52608153 is a wasteful number, since it uses less digits than its factorization.

52608153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 52608153 is about 7253.1477994041. The cubic root of 52608153 is about 374.7005680828.

Adding to 52608153 its reverse (35180625), we get a palindrome (87788778).

The spelling of 52608153 in words is "fifty-two million, six hundred eight thousand, one hundred fifty-three".

Divisors: 1 3 13 23 39 69 223 263 299 669 789 897 2899 3419 5129 6049 8697 10257 15387 18147 58649 66677 78637 175947 200031 235911 762437 1348927 2287311 4046781 17536051 52608153