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52535252200 = 23522330737201
BaseRepresentation
bin110000111011010110…
…000101010011101000
312000121021100022211111
4300323112011103220
51330043011032300
640045004440104
73536605163404
oct607326052350
9160537308744
1052535252200
1120309864602
12a221b49034
134c53092962
14278531a104
1515772359ba
hexc3b5854e8

52535252200 has 96 divisors (see below), whose sum is σ = 127873690560. Its totient is φ = 20034432000.

The previous prime is 52535252173. The next prime is 52535252207. The reversal of 52535252200 is 225253525.

It is not an unprimeable number, because it can be changed into a prime (52535252207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393600 + ... + 1430800.

It is an arithmetic number, because the mean of its divisors is an integer number (1332017610).

Almost surely, 252535252200 is an apocalyptic number.

52535252200 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 52535252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936845280).

52535252200 is an abundant number, since it is smaller than the sum of its proper divisors (75338438360).

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

52535252200 is a wasteful number, since it uses less digits than its factorization.

52535252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37547 (or 37538 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The spelling of 52535252200 in words is "fifty-two billion, five hundred thirty-five million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 307 460 575 614 920 1150 1228 1535 2300 2456 3070 4600 6140 7061 7675 12280 14122 15350 28244 30700 35305 37201 56488 61400 70610 74402 141220 148804 176525 186005 282440 297608 353050 372010 706100 744020 855623 930025 1412200 1488040 1711246 1860050 3422492 3720100 4278115 6844984 7440200 8556230 11420707 17112460 21390575 22841414 34224920 42781150 45682828 57103535 85562300 91365656 114207070 171124600 228414140 262676261 285517675 456828280 525352522 571035350 1050705044 1142070700 1313381305 2101410088 2284141400 2626762610 5253525220 6566906525 10507050440 13133813050 26267626100 52535252200