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52013024 = 257892609
BaseRepresentation
bin1100011001101…
…0011111100000
310121212112110022
43012122133200
5101303404044
65054453012
71201050320
oct306323740
9117775408
1052013024
11273a6178
1215504168
13aa1174b
146c9d280
1548763ee
hex319a7e0

52013024 has 48 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 22032384.

The previous prime is 52013023. The next prime is 52013057. The reversal of 52013024 is 42031025.

52013024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52012993 and 52013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013023) 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 7 ways as a sum of consecutive naturals, for example, 18632 + ... + 21240.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 252013024 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 52013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

52013024 is an abundant number, since it is smaller than the sum of its proper divisors (66376576).

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

52013024 is a wasteful number, since it uses less digits than its factorization.

52013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 52013024 is about 7212.0055463096. The cubic root of 52013024 is about 373.2822747634.

Adding to 52013024 its reverse (42031025), we get a palindrome (94044049).

The spelling of 52013024 in words is "fifty-two million, thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2609 2848 4984 5218 9968 10436 18263 19936 20872 36526 41744 73052 83488 146104 232201 292208 464402 584416 928804 1625407 1857608 3250814 3715216 6501628 7430432 13003256 26006512 52013024