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5250312 = 2333109223
BaseRepresentation
bin10100000001110100001000
3100212202002000
4110001310020
52321002222
6304311000
762425014
oct24016410
910782060
105250312
112a66701
121912460
13111a9c2
149a9544
156da9ac
hex501d08

5250312 has 64 divisors (see below), whose sum is σ = 14784000. Its totient is φ = 1726272.

The previous prime is 5250299. The next prime is 5250317. The reversal of 5250312 is 2130525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5250317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23433 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (231000).

Almost surely, 25250312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5250312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392000).

5250312 is an abundant number, since it is smaller than the sum of its proper divisors (9533688).

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

5250312 is a wasteful number, since it uses less digits than its factorization.

5250312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5250312 is about 2291.3559304482. The cubic root of 5250312 is about 173.8047750978.

Adding to 5250312 its reverse (2130525), we get a palindrome (7380837).

It can be divided in two parts, 52503 and 12, that multiplied together give a palindrome (630036).

The spelling of 5250312 in words is "five million, two hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 223 327 436 446 654 669 872 892 981 1308 1338 1784 1962 2007 2616 2676 2943 3924 4014 5352 5886 6021 7848 8028 11772 12042 16056 23544 24084 24307 48168 48614 72921 97228 145842 194456 218763 291684 437526 583368 656289 875052 1312578 1750104 2625156 5250312