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52090168 = 231331107151
BaseRepresentation
bin1100011010110…
…1010100111000
310122000110021111
43012231110320
5101313341133
65100250104
71201521244
oct306552470
9118013244
1052090168
1127449129
1215540934
13aa3a8b0
146cbd424
15488e1cd
hex31ad538

52090168 has 64 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 22896000.

The previous prime is 52090163. The next prime is 52090169. The reversal of 52090168 is 86109025.

52090168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52090163) 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, 344893 + ... + 345043.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 252090168 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 52090168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

52090168 is an abundant number, since it is smaller than the sum of its proper divisors (58225352).

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

52090168 is a wasteful number, since it uses less digits than its factorization.

52090168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 52090168 is about 7217.3518689336. The cubic root of 52090168 is about 373.4667302493.

The spelling of 52090168 in words is "fifty-two million, ninety thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 107 124 151 214 248 302 403 428 604 806 856 1208 1391 1612 1963 2782 3224 3317 3926 4681 5564 6634 7852 9362 11128 13268 15704 16157 18724 26536 32314 37448 43121 60853 64628 86242 121706 129256 172484 210041 243412 344968 420082 486824 500867 840164 1001734 1680328 2003468 4006936 6511271 13022542 26045084 52090168