Search a number
-
+
23256728 = 2311475623
BaseRepresentation
bin101100010110…
…1111010011000
31121202120020022
41120231322120
521423203403
62150250012
7401451605
oct130557230
947676208
1023256728
1112145140
127956908
134a838a1
1431356ac
152095d38
hex162de98

23256728 has 32 divisors (see below), whose sum is σ = 48591360. Its totient is φ = 10344480.

The previous prime is 23256713. The next prime is 23256743. The reversal of 23256728 is 82765232.

It is an interprime number because it is at equal distance from previous prime (23256713) and next prime (23256743).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 1325 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (1518480).

Almost surely, 223256728 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 23256728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295680).

23256728 is an abundant number, since it is smaller than the sum of its proper divisors (25334632).

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

23256728 is a wasteful number, since it uses less digits than its factorization.

23256728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 23256728 is about 4822.5229911323. The cubic root of 23256728 is about 285.4409016403.

The spelling of 23256728 in words is "twenty-three million, two hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 5623 11246 22492 44984 61853 123706 247412 264281 494824 528562 1057124 2114248 2907091 5814182 11628364 23256728