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449928 = 23332083
BaseRepresentation
bin1101101110110001000
3211212012000
41231312020
5103344203
613351000
73552513
oct1556610
9755160
10449928
11288046
12198460
13129a3b
14b9d7a
158d4a3
hex6dd88

449928 has 32 divisors (see below), whose sum is σ = 1250400. Its totient is φ = 149904.

The previous prime is 449921. The next prime is 449929. The reversal of 449928 is 829944.

It is a happy number.

449928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 449892 and 449901.

It is not an unprimeable number, because it can be changed into a prime (449921) by changing a digit.

449928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (39075).

2449928 is an apocalyptic number.

It is an amenable number.

449928 is an abundant number, since it is smaller than the sum of its proper divisors (800472).

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

449928 is a wasteful number, since it uses less digits than its factorization.

449928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2088 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 449928 is about 670.7667254717. The cubic root of 449928 is about 76.6268560377.

The spelling of 449928 in words is "four hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2083 4166 6249 8332 12498 16664 18747 24996 37494 49992 56241 74988 112482 149976 224964 449928