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5025200 = 245217739
BaseRepresentation
bin10011001010110110110000
3100110022021112
4103022312300
52241301300
6255412452
760466505
oct23126660
910408245
105025200
112922564
121824128
13106c3bb
1494b4ac
15693e35
hex4cadb0

5025200 has 60 divisors (see below), whose sum is σ = 12800520. Its totient is φ = 1889280.

The previous prime is 5025199. The next prime is 5025203. The reversal of 5025200 is 25205.

It is not an unprimeable number, because it can be changed into a prime (5025203) by changing a digit.

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, 6431 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (213342).

Almost surely, 25025200 is an apocalyptic number.

5025200 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 5025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400260).

5025200 is an abundant number, since it is smaller than the sum of its proper divisors (7775320).

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

5025200 is a wasteful number, since it uses less digits than its factorization.

5025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 5025200 is about 2241.6957866758. The cubic root of 5025200 is about 171.2843893499.

It can be divided in two parts, 5025 and 200, that added together give a palindrome (5225).

The spelling of 5025200 in words is "five million, twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 739 850 1360 1478 1700 2956 3400 3695 5912 6800 7390 11824 12563 14780 18475 25126 29560 36950 50252 59120 62815 73900 100504 125630 147800 201008 251260 295600 314075 502520 628150 1005040 1256300 2512600 5025200