Search a number
-
+
23248512 = 27337312
BaseRepresentation
bin101100010101…
…1111010000000
31121202010222000
41120223322000
521422423022
62150144000
7401415630
oct130537200
947663860
1023248512
1112139a51
127952000
134a7cc21
1431326c0
1520936ac
hex162be80

23248512 has 192 divisors, whose sum is σ = 81028800. Its totient is φ = 6428160.

The previous prime is 23248499. The next prime is 23248513. The reversal of 23248512 is 21584232.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23248513) 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 23 ways as a sum of consecutive naturals, for example, 749937 + ... + 749967.

It is an arithmetic number, because the mean of its divisors is an integer number (422025).

Almost surely, 223248512 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 23248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514400).

23248512 is an abundant number, since it is smaller than the sum of its proper divisors (57780288).

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

23248512 is an equidigital number, since it uses as much as digits as its factorization.

23248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 23248512 is about 4821.6710796154. The cubic root of 23248512 is about 285.4072847207.

The spelling of 23248512 in words is "twenty-three million, two hundred forty-eight thousand, five hundred twelve".