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449016 = 23353353
BaseRepresentation
bin1101101100111111000
3211210221020
41231213320
5103332031
613342440
73550041
oct1554770
9753836
10449016
11287397
12197a20
131294b9
14b98c8
158d096
hex6d9f8

449016 has 32 divisors (see below), whose sum is σ = 1146960. Its totient is φ = 146432.

The previous prime is 449011. The next prime is 449051. The reversal of 449016 is 610944.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449011) by changing a digit.

449016 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, 1096 + ... + 1448.

2449016 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 449016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573480).

449016 is an abundant number, since it is smaller than the sum of its proper divisors (697944).

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

449016 is a wasteful number, since it uses less digits than its factorization.

449016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 449016 is about 670.0865615725. The cubic root of 449016 is about 76.5750470343.

The spelling of 449016 in words is "four hundred forty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 353 424 636 706 1059 1272 1412 2118 2824 4236 8472 18709 37418 56127 74836 112254 149672 224508 449016