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448848 = 24331039
BaseRepresentation
bin1101101100101010000
3211210201000
41231211100
5103330343
613342000
73546411
oct1554520
9753630
10448848
11287254
12197900
131293ba
14b9808
158ced3
hex6d950

448848 has 40 divisors (see below), whose sum is σ = 1289600. Its totient is φ = 149472.

The previous prime is 448843. The next prime is 448853. The reversal of 448848 is 848844.

It is an interprime number because it is at equal distance from previous prime (448843) and next prime (448853).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (448843) by changing a digit.

448848 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, 88 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2448848 is an apocalyptic number.

448848 is a gapful number since it is divisible by the number (48) 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 448848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644800).

448848 is an abundant number, since it is smaller than the sum of its proper divisors (840752).

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

448848 is a wasteful number, since it uses less digits than its factorization.

448848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 448848 is about 669.9611929060. The cubic root of 448848 is about 76.5654956207.

It can be divided in two parts, 448 and 848, that added together give a 4-th power (1296 = 64).

The spelling of 448848 in words is "four hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1039 2078 3117 4156 6234 8312 9351 12468 16624 18702 24936 28053 37404 49872 56106 74808 112212 149616 224424 448848