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5200312 = 2313311613
BaseRepresentation
bin10011110101100110111000
3100210012111011
4103311212320
52312402222
6303243304
762126155
oct23654670
910705434
105200312
112a32087
1218a9534
131101010
1499522c
156cac77
hex4f59b8

5200312 has 32 divisors (see below), whose sum is σ = 10846080. Its totient is φ = 2321280.

The previous prime is 5200297. The next prime is 5200331. The reversal of 5200312 is 2130025.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 5200292 and 5200301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 4030.

It is an arithmetic number, because the mean of its divisors is an integer number (338940).

Almost surely, 25200312 is an apocalyptic number.

5200312 is a gapful number since it is divisible by the number (52) 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 5200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423040).

5200312 is an abundant number, since it is smaller than the sum of its proper divisors (5645768).

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

5200312 is a wasteful number, since it uses less digits than its factorization.

5200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5200312 is about 2280.4192596977. The cubic root of 5200312 is about 173.2512859553.

Adding to 5200312 its reverse (2130025), we get a palindrome (7330337).

The spelling of 5200312 in words is "five million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 1613 3224 3226 6452 12904 20969 41938 50003 83876 100006 167752 200012 400024 650039 1300078 2600156 5200312