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5221344 = 253137397
BaseRepresentation
bin10011111010101111100000
3100211021100010
4103322233200
52314040334
6303524520
762244402
oct23725740
910737303
105221344
112a46967
1218b9740
13110a76b
1499cb72
156d20e9
hex4fabe0

5221344 has 48 divisors (see below), whose sum is σ = 13840848. Its totient is φ = 1723392.

The previous prime is 5221343. The next prime is 5221369. The reversal of 5221344 is 4431225.

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 5221344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221343) by changing a digit.

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, 12954 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (288351).

Almost surely, 25221344 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 5221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920424).

5221344 is an abundant number, since it is smaller than the sum of its proper divisors (8619504).

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

5221344 is a wasteful number, since it uses less digits than its factorization.

5221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 5221344 is about 2285.0260392389. The cubic root of 5221344 is about 173.4845360456.

Adding to 5221344 its reverse (4431225), we get a palindrome (9652569).

It can be divided in two parts, 5221 and 344, that added together give a triangular number (5565 = T105).

The spelling of 5221344 in words is "five million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 397 411 548 794 822 1096 1191 1588 1644 2192 2382 3176 3288 4384 4764 6352 6576 9528 12704 13152 19056 38112 54389 108778 163167 217556 326334 435112 652668 870224 1305336 1740448 2610672 5221344