Search a number
-
+
5273968 = 2473312
BaseRepresentation
bin10100000111100101110000
3100220221112011
4110013211300
52322231333
6305012304
762554000
oct24074560
910827464
105273968
112a82457
121924094
1311286bb
149b4000
156e29cd
hex507970

5273968 has 60 divisors (see below), whose sum is σ = 12313200. Its totient is φ = 2187360.

The previous prime is 5273959. The next prime is 5273971. The reversal of 5273968 is 8693725.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (90720) is a multiple of the sum of its prime divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 5273968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170113 + ... + 170143.

It is an arithmetic number, because the mean of its divisors is an integer number (205220).

Almost surely, 25273968 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 5273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156600).

5273968 is an abundant number, since it is smaller than the sum of its proper divisors (7039232).

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

5273968 is an equidigital number, since it uses as much as digits as its factorization.

5273968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 5273968 is about 2296.5121380041. The cubic root of 5273968 is about 174.0654177768.

It can be divided in two parts, 5273 and 968, that added together give a square (6241 = 792).

The spelling of 5273968 in words is "five million, two hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 434 496 686 784 868 961 1372 1519 1736 1922 2744 3038 3472 3844 5488 6076 6727 7688 10633 12152 13454 15376 21266 24304 26908 42532 47089 53816 85064 94178 107632 170128 188356 329623 376712 659246 753424 1318492 2636984 5273968