Search a number
-
+
52871040 = 2732567137
BaseRepresentation
bin1100100110101…
…1111110000000
310200111010102200
43021223332000
5102013333130
65125113200
71211252655
oct311537600
9120433380
1052871040
1127931882
1215858800
13ac52151
147043c2c
154995760
hex326bf80

52871040 has 192 divisors, whose sum is σ = 186647760. Its totient is φ = 13787136.

The previous prime is 52871023. The next prime is 52871041. The reversal of 52871040 is 4017825.

52871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 52870995 and 52871013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52871041) 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 23 ways as a sum of consecutive naturals, for example, 385852 + ... + 385988.

Almost surely, 252871040 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 52871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93323880).

52871040 is an abundant number, since it is smaller than the sum of its proper divisors (133776720).

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

52871040 is a wasteful number, since it uses less digits than its factorization.

52871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52871040 is about 7271.2474858170. The cubic root of 52871040 is about 375.3236672250.

Adding to 52871040 its reverse (4017825), we get a palindrome (56888865).

The spelling of 52871040 in words is "fifty-two million, eight hundred seventy-one thousand, forty".