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52262000 = 245373733
BaseRepresentation
bin1100011101011…
…1010001110000
310122100011222122
43013113101300
5101334341000
65104053412
71203135230
oct307272160
9118304878
1052262000
112755623a
1215604268
13aa9ab7b
146d25cc0
1548c5085
hex31d7470

52262000 has 80 divisors (see below), whose sum is σ = 144460992. Its totient is φ = 17913600.

The previous prime is 52261999. The next prime is 52262047. The reversal of 52262000 is 26225.

52262000 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 52262000.

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 15 ways as a sum of consecutive naturals, for example, 12134 + ... + 15866.

Almost surely, 252262000 is an apocalyptic number.

52262000 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 52262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72230496).

52262000 is an abundant number, since it is smaller than the sum of its proper divisors (92198992).

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

52262000 is a wasteful number, since it uses less digits than its factorization.

52262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 52262000 is about 7229.2461571038. The cubic root of 52262000 is about 373.8769362615.

Adding to 52262000 its reverse (26225), we get a palindrome (52288225).

The spelling of 52262000 in words is "fifty-two million, two hundred sixty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 3733 7000 7466 14000 14932 18665 26131 29864 37330 52262 59728 74660 93325 104524 130655 149320 186650 209048 261310 298640 373300 418096 466625 522620 653275 746600 933250 1045240 1306550 1493200 1866500 2090480 2613100 3266375 3733000 5226200 6532750 7466000 10452400 13065500 26131000 52262000