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449002944 = 26321361983
BaseRepresentation
bin11010110000110…
…011110111000000
31011021212201020200
4122300303313000
51404421043234
6112315405200
714061314325
oct3260636700
91137781220
10449002944
112104a5615
12106453800
137203ac20
14438bcb4c
1529642d99
hex1ac33dc0

449002944 has 168 divisors, whose sum is σ = 1410138912. Its totient is φ = 135751680.

The previous prime is 449002919. The next prime is 449002949. The reversal of 449002944 is 449200944.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 449002899 and 449002908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449002949) 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, 456277 + ... + 457259.

It is an arithmetic number, because the mean of its divisors is an integer number (8393684).

Almost surely, 2449002944 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 449002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705069456).

449002944 is an abundant number, since it is smaller than the sum of its proper divisors (961135968).

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

449002944 is a wasteful number, since it uses less digits than its factorization.

449002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 449002944 is about 21189.6895682782. The cubic root of 449002944 is about 765.7430483844.

The spelling of 449002944 in words is "four hundred forty-nine million, two thousand, nine hundred forty-four".