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53251000 = 23531147103
BaseRepresentation
bin1100101100100…
…0101110111000
310201012102122021
43023020232320
5102113013000
65141204224
71214424505
oct313105670
9121172567
1053251000
11280712a0
1215a00674
13b05608a
1471024ac
154a1d11a
hex32c8bb8

53251000 has 128 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 18768000.

The previous prime is 53250979. The next prime is 53251013. The reversal of 53251000 is 15235.

53251000 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 31 ways as a sum of consecutive naturals, for example, 516949 + ... + 517051.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120).

Almost surely, 253251000 is an apocalyptic number.

53251000 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 53251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

53251000 is an abundant number, since it is smaller than the sum of its proper divisors (86924360).

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

53251000 is a wasteful number, since it uses less digits than its factorization.

53251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 53251000 is about 7297.3282782125. The cubic root of 53251000 is about 376.2206152112.

Adding to 53251000 its reverse (15235), we get a palindrome (53266235).

The spelling of 53251000 in words is "fifty-three million, two hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 103 110 125 188 200 206 220 235 250 275 376 412 440 470 500 515 517 550 824 940 1000 1030 1034 1100 1133 1175 1375 1880 2060 2068 2200 2266 2350 2575 2585 2750 4120 4136 4532 4700 4841 5150 5170 5500 5665 5875 9064 9400 9682 10300 10340 11000 11330 11750 12875 12925 19364 20600 20680 22660 23500 24205 25750 25850 28325 38728 45320 47000 48410 51500 51700 53251 56650 64625 96820 103000 103400 106502 113300 121025 129250 141625 193640 213004 226600 242050 258500 266255 283250 426008 484100 517000 532510 566500 605125 968200 1065020 1133000 1210250 1331275 2130040 2420500 2662550 4841000 5325100 6656375 10650200 13312750 26625500 53251000