Search a number
-
+
52110500 = 2253138017
BaseRepresentation
bin1100011011001…
…0010010100100
310122001111011112
43012302102210
5101320014000
65100524152
71201634441
oct306622244
9118044145
1052110500
1127462432
1215550658
13aa46c20
146cc69c8
154895235
hex31b24a4

52110500 has 48 divisors (see below), whose sum is σ = 122579184. Its totient is φ = 19238400.

The previous prime is 52110497. The next prime is 52110503. The reversal of 52110500 is 501125.

It is an interprime number because it is at equal distance from previous prime (52110497) and next prime (52110503).

It can be written as a sum of positive squares in 8 ways, for example, as 24820324 + 27290176 = 4982^2 + 5224^2 .

It is not an unprimeable number, because it can be changed into a prime (52110503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492 + ... + 10508.

It is an arithmetic number, because the mean of its divisors is an integer number (2553733).

Almost surely, 252110500 is an apocalyptic number.

52110500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61289592).

52110500 is an abundant number, since it is smaller than the sum of its proper divisors (70468684).

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

52110500 is a wasteful number, since it uses less digits than its factorization.

52110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 52110500 is about 7218.7602813780. The cubic root of 52110500 is about 373.5153148359.

Adding to 52110500 its reverse (501125), we get a palindrome (52611625).

The spelling of 52110500 in words is "fifty-two million, one hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 8017 16034 32068 40085 80170 104221 160340 200425 208442 400850 416884 521105 801700 1002125 1042210 2004250 2084420 2605525 4008500 5211050 10422100 13027625 26055250 52110500