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52236900 = 2234526449
BaseRepresentation
bin1100011101000…
…1001001100100
310122021220120000
43013101021210
5101333040100
65103341300
71203002112
oct307211144
9118256500
1052236900
11275393a1
12155b1830
13aa8c611
146d1aab2
1548bc900
hex31d1264

52236900 has 90 divisors (see below), whose sum is σ = 169357650. Its totient is φ = 13927680.

The previous prime is 52236893. The next prime is 52236929. The reversal of 52236900 is 963225.

It can be written as a sum of positive squares in 3 ways, for example, as 14561856 + 37675044 = 3816^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×522369002 = 5457387443220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4876 + ... + 11324.

Almost surely, 252236900 is an apocalyptic number.

52236900 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 52236900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84678825).

52236900 is an abundant number, since it is smaller than the sum of its proper divisors (117120750).

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

52236900 is a wasteful number, since it uses less digits than its factorization.

52236900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6459 counting only the distinct ones).

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

The square root of 52236900 is about 7227.5099446490. The cubic root of 52236900 is about 373.8170724098.

The spelling of 52236900 in words is "fifty-two million, two hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 6449 8100 12898 19347 25796 32245 38694 58041 64490 77388 96735 116082 128980 161225 174123 193470 232164 290205 322450 348246 386940 483675 522369 580410 644900 696492 870615 967350 1044738 1160820 1451025 1741230 1934700 2089476 2611845 2902050 3482460 4353075 5223690 5804100 8706150 10447380 13059225 17412300 26118450 52236900