Search a number
-
+
5221296 = 2432101359
BaseRepresentation
bin10011111010101110110000
3100211021021100
4103322232300
52314040141
6303524400
762244303
oct23725660
910737240
105221296
112a46923
1218b9700
13110a732
1499cb3a
156d20b6
hex4fabb0

5221296 has 60 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 1718400.

The previous prime is 5221291. The next prime is 5221301. The reversal of 5221296 is 6921225.

5221296 is a nontrivial binomial coefficient, being equal to C(3232, 2).

It is an interprime number because it is at equal distance from previous prime (5221291) and next prime (5221301).

It is not an unprimeable number, because it can be changed into a prime (5221291) 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 11 ways as a sum of consecutive naturals, for example, 14365 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 25221296 is an apocalyptic number.

5221296 is the 3231-st triangular number and also the 1616-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

5221296 is an abundant number, since it is smaller than the sum of its proper divisors (9576864).

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

5221296 is a wasteful number, since it uses less digits than its factorization.

5221296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 5221296 is about 2285.0155360522. The cubic root of 5221296 is about 173.4840044275.

The spelling of 5221296 in words is "five million, two hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 359 404 606 718 808 909 1077 1212 1436 1616 1818 2154 2424 2872 3231 3636 4308 4848 5744 6462 7272 8616 12924 14544 17232 25848 36259 51696 72518 108777 145036 217554 290072 326331 435108 580144 652662 870216 1305324 1740432 2610648 5221296