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52805700 = 223252232551
BaseRepresentation
bin1100100101110…
…0000001000100
310200100210210200
43021130001010
5102004240300
65123450500
71210561323
oct311340104
9120323720
1052805700
1127897782
1215826a30
13ac2b49c
1470280ba
154981200
hex325c044

52805700 has 108 divisors (see below), whose sum is σ = 172780608. Its totient is φ = 13464000.

The previous prime is 52805681. The next prime is 52805713. The reversal of 52805700 is 750825.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19425 + ... + 21975.

Almost surely, 252805700 is an apocalyptic number.

52805700 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 52805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86390304).

52805700 is an abundant number, since it is smaller than the sum of its proper divisors (119974908).

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

52805700 is a wasteful number, since it uses less digits than its factorization.

52805700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 52805700 is about 7266.7530575904. The cubic root of 52805700 is about 375.1689905011.

The spelling of 52805700 in words is "fifty-two million, eight hundred five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 2551 3450 4140 5102 5175 6900 7653 10204 10350 12755 15306 20700 22959 25510 30612 38265 45918 51020 58673 63775 76530 91836 114795 117346 127550 153060 176019 191325 229590 234692 255100 293365 352038 382650 459180 528057 573975 586730 704076 765300 880095 1056114 1147950 1173460 1466825 1760190 2112228 2295900 2640285 2933650 3520380 4400475 5280570 5867300 8800950 10561140 13201425 17601900 26402850 52805700