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5028200 = 235231811
BaseRepresentation
bin10011001011100101101000
3100110110101122
4103023211220
52241400300
6255434412
760511322
oct23134550
910413348
105028200
112924841
121825a08
131070888
1494c612
15694c85
hex4cb968

5028200 has 48 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 1944000.

The previous prime is 5028197. The next prime is 5028241. The reversal of 5028200 is 28205.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 5795 + ... + 6605.

It is an arithmetic number, because the mean of its divisors is an integer number (251720).

Almost surely, 25028200 is an apocalyptic number.

5028200 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 5028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

5028200 is an abundant number, since it is smaller than the sum of its proper divisors (7054360).

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

5028200 is a wasteful number, since it uses less digits than its factorization.

5028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5028200 is about 2242.3648231276. The cubic root of 5028200 is about 171.3184676584.

The spelling of 5028200 in words is "five million, twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 811 1240 1550 1622 3100 3244 4055 6200 6488 8110 16220 20275 25141 32440 40550 50282 81100 100564 125705 162200 201128 251410 502820 628525 1005640 1257050 2514100 5028200