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52021216 = 2513235437
BaseRepresentation
bin1100011001110…
…0011111100000
310121212221200201
43012130133200
5101304134331
65054554544
71201113232
oct306343740
9117787621
1052021216
1127401345
1215508a54
13aa153b0
146ca2252
154878a61
hex319c7e0

52021216 has 48 divisors (see below), whose sum is σ = 115111584. Its totient is φ = 22961664.

The previous prime is 52021201. The next prime is 52021219. The reversal of 52021216 is 61212025.

52021216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52021193 and 52021202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52021219) 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, 6850 + ... + 12286.

It is an arithmetic number, because the mean of its divisors is an integer number (2398158).

Almost surely, 252021216 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 52021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57555792).

52021216 is an abundant number, since it is smaller than the sum of its proper divisors (63090368).

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

52021216 is a wasteful number, since it uses less digits than its factorization.

52021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 52021216 is about 7212.5734658303. The cubic root of 52021216 is about 373.3018709314.

It can be divided in two parts, 520 and 21216, that added together give a triangular number (21736 = T208).

The spelling of 52021216 in words is "fifty-two million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 5437 9568 10874 21748 43496 70681 86992 125051 141362 173984 250102 282724 500204 565448 1000408 1130896 1625663 2000816 2261792 3251326 4001632 6502652 13005304 26010608 52021216