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10448064 = 2632111797
BaseRepresentation
bin100111110110…
…110011000000
3201122211001100
4213312303000
510133314224
61011534400
7154543554
oct47666300
921584040
1010448064
115996870
1235ba400
13221a7b3
14155d864
15db5ac9
hex9f6cc0

10448064 has 168 divisors, whose sum is σ = 34948368. Its totient is φ = 2949120.

The previous prime is 10448057. The next prime is 10448069. The reversal of 10448064 is 46084401.

10448064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10448069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107664 + ... + 107760.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 210448064 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 10448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

10448064 is an abundant number, since it is smaller than the sum of its proper divisors (24500304).

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

10448064 is a wasteful number, since it uses less digits than its factorization.

10448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10448064 is about 3232.3465160778. The cubic root of 10448064 is about 218.6143208696.

The spelling of 10448064 in words is "ten million, four hundred forty-eight thousand, sixty-four".