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52212524 = 22713191751
BaseRepresentation
bin1100011100101…
…1001100101100
310122020200010012
43013023030230
5101331300044
65103032352
71202541050
oct307131454
9118220105
1052212524
1127522051
121559b6b8
13aa814b0
146d11c60
1548b559e
hex31cb32c

52212524 has 48 divisors (see below), whose sum is σ = 113197056. Its totient is φ = 20520000.

The previous prime is 52212521. The next prime is 52212571. The reversal of 52212524 is 42521225.

52212524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×522125242 = 5452295324901152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52212524.

It is not an unprimeable number, because it can be changed into a prime (52212521) 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, 69149 + ... + 69899.

It is an arithmetic number, because the mean of its divisors is an integer number (2358272).

Almost surely, 252212524 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 52212524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56598528).

52212524 is an abundant number, since it is smaller than the sum of its proper divisors (60984532).

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

52212524 is a wasteful number, since it uses less digits than its factorization.

52212524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 964 counting only the distinct ones).

The product of its digits is 1600, while the sum is 23.

The square root of 52212524 is about 7225.8234132865. The cubic root of 52212524 is about 373.7589169507.

Adding to 52212524 its reverse (42521225), we get a palindrome (94733749).

The spelling of 52212524 in words is "fifty-two million, two hundred twelve thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 191 364 382 751 764 1337 1502 2483 2674 3004 4966 5257 5348 9763 9932 10514 17381 19526 21028 34762 39052 68341 69524 136682 143441 273364 286882 573764 1004087 1864733 2008174 3729466 4016348 7458932 13053131 26106262 52212524