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5236200 = 2332522909
BaseRepresentation
bin10011111110010111101000
3100212000201100
4103332113220
52320024300
6304121400
762335614
oct23762750
910760640
105236200
112a57042
121906260
131114458
149a4344
156d6700
hex4fe5e8

5236200 has 72 divisors (see below), whose sum is σ = 17590950. Its totient is φ = 1395840.

The previous prime is 5236193. The next prime is 5236213. The reversal of 5236200 is 26325.

It can be written as a sum of positive squares in 3 ways, for example, as 4691556 + 544644 = 2166^2 + 738^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346 + ... + 3254.

Almost surely, 25236200 is an apocalyptic number.

5236200 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 5236200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795475).

5236200 is an abundant number, since it is smaller than the sum of its proper divisors (12354750).

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

5236200 is a wasteful number, since it uses less digits than its factorization.

5236200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5236200 is about 2288.2744590630. The cubic root of 5236200 is about 173.6489155481.

The spelling of 5236200 in words is "five million, two hundred thirty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2909 5818 8727 11636 14545 17454 23272 26181 29090 34908 43635 52362 58180 69816 72725 87270 104724 116360 130905 145450 174540 209448 218175 261810 290900 349080 436350 523620 581800 654525 872700 1047240 1309050 1745400 2618100 5236200