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23289472 = 27533433
BaseRepresentation
bin101100011010…
…1111010000000
31121211020011001
41120311322000
521430230342
62151101344
7401646223
oct130657200
947736131
1023289472
11121677a8
127971854
134a9576b
1431435ba
1520a08b7
hex1635e80

23289472 has 32 divisors (see below), whose sum is σ = 47286180. Its totient is φ = 11421696.

The previous prime is 23289467. The next prime is 23289479. The reversal of 23289472 is 27498232.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 18496 = 4824^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (23289479) 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 3 ways as a sum of consecutive naturals, for example, 5068 + ... + 8500.

Almost surely, 223289472 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 23289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23643090).

23289472 is an abundant number, since it is smaller than the sum of its proper divisors (23996708).

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

23289472 is an equidigital number, since it uses as much as digits as its factorization.

23289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3488 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 23289472 is about 4825.9167004829. The cubic root of 23289472 is about 285.5747997234.

The spelling of 23289472 in words is "twenty-three million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 3433 6784 6866 13732 27464 54928 109856 181949 219712 363898 439424 727796 1455592 2911184 5822368 11644736 23289472