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5250144 = 253173217
BaseRepresentation
bin10100000001110001100000
3100212201211210
4110001301200
52321001034
6304310120
762424354
oct24016140
910781753
105250144
112a66569
121912340
13111a8c3
149a9464
156da8e9
hex501c60

5250144 has 48 divisors (see below), whose sum is σ = 14596848. Its totient is φ = 1646592.

The previous prime is 5250143. The next prime is 5250149. The reversal of 5250144 is 4410525.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5250144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5250143) 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 7 ways as a sum of consecutive naturals, for example, 24 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (304101).

Almost surely, 25250144 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 5250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298424).

5250144 is an abundant number, since it is smaller than the sum of its proper divisors (9346704).

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

5250144 is a wasteful number, since it uses less digits than its factorization.

5250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5250144 is about 2291.3192706386. The cubic root of 5250144 is about 173.8029212705.

Adding to 5250144 its reverse (4410525), we get a palindrome (9660669).

The spelling of 5250144 in words is "five million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3217 6434 9651 12868 19302 25736 38604 51472 54689 77208 102944 109378 154416 164067 218756 308832 328134 437512 656268 875024 1312536 1750048 2625072 5250144