Search a number
-
+
5273328 = 243611801
BaseRepresentation
bin10100000111011011110000
3100220220122110
4110013123300
52322221303
6305005320
762552064
oct24073360
910826573
105273328
112a81a25
121923840
131128318
149b3aa4
156e2703
hex5076f0

5273328 has 40 divisors (see below), whose sum is σ = 13853776. Its totient is φ = 1728000.

The previous prime is 5273327. The next prime is 5273347. The reversal of 5273328 is 8233725.

It is a d-powerful number, because it can be written as 57 + 26 + 77 + 34 + 311 + 222 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5273295 and 5273304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 3828.

Almost surely, 25273328 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 5273328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926888).

5273328 is an abundant number, since it is smaller than the sum of its proper divisors (8580448).

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

5273328 is a wasteful number, since it uses less digits than its factorization.

5273328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 5273328 is about 2296.3727920353. The cubic root of 5273328 is about 174.0583765020.

The spelling of 5273328 in words is "five million, two hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1801 2928 3602 5403 7204 10806 14408 21612 28816 43224 86448 109861 219722 329583 439444 659166 878888 1318332 1757776 2636664 5273328