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449800 = 235213173
BaseRepresentation
bin1101101110100001000
3211212000021
41231310020
5103343200
613350224
73552241
oct1556410
9755007
10449800
11287a3a
12198374
13129970
14b9cc8
158d41a
hex6dd08

449800 has 48 divisors (see below), whose sum is σ = 1132740. Its totient is φ = 165120.

The previous prime is 449797. The next prime is 449807. The reversal of 449800 is 8944.

449800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 181476 + 268324 = 426^2 + 518^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (449807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2514 + ... + 2686.

2449800 is an apocalyptic number.

449800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566370).

449800 is an abundant number, since it is smaller than the sum of its proper divisors (682940).

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

449800 is a wasteful number, since it uses less digits than its factorization.

449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 449800 is about 670.6713054843. The cubic root of 449800 is about 76.6195888247.

The spelling of 449800 in words is "four hundred forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 173 200 260 325 346 520 650 692 865 1300 1384 1730 2249 2600 3460 4325 4498 6920 8650 8996 11245 17300 17992 22490 34600 44980 56225 89960 112450 224900 449800