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5023200 = 2535271323
BaseRepresentation
bin10011001010010111100000
3100110012112110
4103022113200
52241220300
6255355320
760460620
oct23122740
910405473
105023200
112921006
121822b40
13106b510
1494a880
15693550
hex4ca5e0

5023200 has 288 divisors, whose sum is σ = 20998656. Its totient is φ = 1013760.

The previous prime is 5023199. The next prime is 5023229. The reversal of 5023200 is 23205.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218389 + ... + 218411.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 25023200 is an apocalyptic number.

5023200 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 5023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5023200 is an abundant number, since it is smaller than the sum of its proper divisors (15975456).

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

5023200 is a wasteful number, since it uses less digits than its factorization.

5023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5023200 is about 2241.2496514222. The cubic root of 5023200 is about 171.2616629420.

Adding to 5023200 its reverse (23205), we get a palindrome (5046405).

The spelling of 5023200 in words is "five million, twenty-three thousand, two hundred".