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52606200 = 23352432039
BaseRepresentation
bin1100100010101…
…1010011111000
310122222200010210
43020223103320
5101431344300
65115311120
71206100563
oct310532370
9118880123
1052606200
11277708a9
121574b4a0
13ab8b73a
146db54da
154942050
hex322b4f8

52606200 has 96 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 13695360.

The previous prime is 52606181. The next prime is 52606271. The reversal of 52606200 is 260625.

52606200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 24781 + ... + 26819.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 252606200 is an apocalyptic number.

52606200 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 52606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

52606200 is an abundant number, since it is smaller than the sum of its proper divisors (114347400).

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

52606200 is a wasteful number, since it uses less digits than its factorization.

52606200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 52606200 is about 7253.0131669534. The cubic root of 52606200 is about 374.6959312903.

Adding to 52606200 its reverse (260625), we get a palindrome (52866825).

The spelling of 52606200 in words is "fifty-two million, six hundred six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2039 2150 2580 3225 4078 4300 5160 6117 6450 8156 8600 10195 12234 12900 16312 20390 24468 25800 30585 40780 48936 50975 61170 81560 87677 101950 122340 152925 175354 203900 244680 263031 305850 350708 407800 438385 526062 611700 701416 876770 1052124 1223400 1315155 1753540 2104248 2191925 2630310 3507080 4383850 5260620 6575775 8767700 10521240 13151550 17535400 26303100 52606200