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52269300 = 223752239
BaseRepresentation
bin1100011101100…
…1000011110100
310122100120000000
43013121003310
5101340104200
65104151300
71203165426
oct307310364
9118316000
1052269300
1127560776
1215608530
13aaa12a5
146d28816
1548c7300
hex31d90f4

52269300 has 144 divisors (see below), whose sum is σ = 170822400. Its totient is φ = 13880160.

The previous prime is 52269299. The next prime is 52269319. The reversal of 52269300 is 396225.

52269300 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 (27).

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 47 ways as a sum of consecutive naturals, for example, 218581 + ... + 218819.

Almost surely, 252269300 is an apocalyptic number.

52269300 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 52269300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85411200).

52269300 is an abundant number, since it is smaller than the sum of its proper divisors (118553100).

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

52269300 is a wasteful number, since it uses less digits than its factorization.

52269300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52269300 is about 7229.7510330578. The cubic root of 52269300 is about 373.8943432657.

The spelling of 52269300 in words is "fifty-two million, two hundred sixty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 239 243 270 300 324 405 450 478 486 540 675 717 729 810 900 956 972 1195 1215 1350 1434 1458 1620 2025 2151 2187 2390 2430 2700 2868 2916 3585 3645 4050 4302 4374 4780 4860 5975 6075 6453 7170 7290 8100 8604 8748 10755 10935 11950 12150 12906 14340 14580 17925 18225 19359 21510 21870 23900 24300 25812 32265 35850 36450 38718 43020 43740 53775 54675 58077 64530 71700 72900 77436 96795 107550 109350 116154 129060 161325 174231 193590 215100 218700 232308 290385 322650 348462 387180 483975 522693 580770 645300 696924 871155 967950 1045386 1161540 1451925 1742310 1935900 2090772 2613465 2903850 3484620 4355775 5226930 5807700 8711550 10453860 13067325 17423100 26134650 52269300