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449196 = 223114183
BaseRepresentation
bin1101101101010101100
3211211011220
41231222230
5103333241
613343340
73550416
oct1555254
9754156
10449196
11287540
12197b50
131295c7
14b99b6
158d166
hex6daac

449196 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 131200.

The previous prime is 449173. The next prime is 449201. The reversal of 449196 is 691944.

449196 = 842 + 852 + ... + 1242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

449196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5371 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2449196 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 449196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

449196 is an abundant number, since it is smaller than the sum of its proper divisors (736212).

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

449196 is a wasteful number, since it uses less digits than its factorization.

449196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 449196 is about 670.2208591203. The cubic root of 449196 is about 76.5852780484.

The spelling of 449196 in words is "four hundred forty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 83 123 132 164 166 246 249 332 451 492 498 902 913 996 1353 1804 1826 2706 2739 3403 3652 5412 5478 6806 10209 10956 13612 20418 37433 40836 74866 112299 149732 224598 449196