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52263000 = 2332535807
BaseRepresentation
bin1100011101011…
…1100001011000
310122100020100200
43013113201120
5101334404000
65104102200
71203141156
oct307274130
9118306320
1052263000
1127556a69
1215604960
13aa9b46a
146d263d6
1548c5500
hex31d7858

52263000 has 96 divisors (see below), whose sum is σ = 176679360. Its totient is φ = 13934400.

The previous prime is 52262999. The next prime is 52263007. The reversal of 52263000 is 36225.

52263000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52263007) 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, 6097 + ... + 11903.

It is an arithmetic number, because the mean of its divisors is an integer number (1840410).

Almost surely, 252263000 is an apocalyptic number.

52263000 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 52263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88339680).

52263000 is an abundant number, since it is smaller than the sum of its proper divisors (124416360).

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

52263000 is a wasteful number, since it uses less digits than its factorization.

52263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52263000 is about 7229.3153202776. The cubic root of 52263000 is about 373.8793208784.

Adding to 52263000 its reverse (36225), we get a palindrome (52299225).

The spelling of 52263000 in words is "fifty-two million, two hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 5807 9000 11614 17421 23228 29035 34842 46456 52263 58070 69684 87105 104526 116140 139368 145175 174210 209052 232280 261315 290350 348420 418104 435525 522630 580700 696840 725875 871050 1045260 1161400 1306575 1451750 1742100 2090520 2177625 2613150 2903500 3484200 4355250 5226300 5807000 6532875 8710500 10452600 13065750 17421000 26131500 52263000