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448944 = 24347199
BaseRepresentation
bin1101101100110110000
3211210211120
41231212300
5103331234
613342240
73546606
oct1554660
9753746
10448944
11287331
12197980
13129462
14b9876
158d049
hex6d9b0

448944 has 40 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 145728.

The previous prime is 448939. The next prime is 448969. The reversal of 448944 is 449844.

It is a nialpdrome in base 14.

It is an unprimeable number.

448944 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, 2157 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2448944 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 448944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

448944 is an abundant number, since it is smaller than the sum of its proper divisors (741456).

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

448944 is a wasteful number, since it uses less digits than its factorization.

448944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 448944 is about 670.0328350163. The cubic root of 448944 is about 76.5709538631.

Subtracting 448944 from its reverse (449844), we obtain a square (900 = 302).

The spelling of 448944 in words is "four hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 199 282 376 398 564 597 752 796 1128 1194 1592 2256 2388 3184 4776 9353 9552 18706 28059 37412 56118 74824 112236 149648 224472 448944