Search a number
-
+
23528448 = 210332337
BaseRepresentation
bin101100111000…
…0010000000000
31122021100222000
41121300100000
522010402243
62200144000
7403663026
oct131602000
948240860
1023528448
11123102a9
127a68000
134b4a478
1431a6716
1520eb5d3
hex1670400

23528448 has 176 divisors, whose sum is σ = 74674560. Its totient is φ = 7299072.

The previous prime is 23528447. The next prime is 23528497. The reversal of 23528448 is 84482532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23528443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635886 + ... + 635922.

Almost surely, 223528448 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 23528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337280).

23528448 is an abundant number, since it is smaller than the sum of its proper divisors (51146112).

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

23528448 is a wasteful number, since it uses less digits than its factorization.

23528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 23528448 is about 4850.6131571174. The cubic root of 23528448 is about 286.5482498710.

The spelling of 23528448 in words is "twenty-three million, five hundred twenty-eight thousand, four hundred forty-eight".