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5247200 = 25527937
BaseRepresentation
bin10100000001000011100000
3100212120210202
4110001003200
52320402300
6304244332
762412650
oct24010340
910776722
105247200
112a64332
1219106a8
13111946a
149a8360
156d9ad5
hex5010e0

5247200 has 72 divisors (see below), whose sum is σ = 14655312. Its totient is φ = 1797120.

The previous prime is 5247199. The next prime is 5247217. The reversal of 5247200 is 27425.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5132 + ... + 6068.

It is an arithmetic number, because the mean of its divisors is an integer number (203546).

Almost surely, 25247200 is an apocalyptic number.

5247200 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 5247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327656).

5247200 is an abundant number, since it is smaller than the sum of its proper divisors (9408112).

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

5247200 is a wasteful number, since it uses less digits than its factorization.

5247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 5247200 is about 2290.6767558955. The cubic root of 5247200 is about 173.7704287351.

Subtracting from 5247200 its sum of digits (20), we obtain a triangular number (5247180 = T3239).

The spelling of 5247200 in words is "five million, two hundred forty-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 937 1120 1400 1874 2800 3748 4685 5600 6559 7496 9370 13118 14992 18740 23425 26236 29984 32795 37480 46850 52472 65590 74960 93700 104944 131180 149920 163975 187400 209888 262360 327950 374800 524720 655900 749600 1049440 1311800 2623600 5247200