Search a number
-
+
448146 = 23343193
BaseRepresentation
bin1101101011010010010
3211202202000
41231122102
5103320041
613334430
73544356
oct1553222
9752660
10448146
11286776
12197416
13128c9a
14b9466
158cbb6
hex6d692

448146 has 32 divisors (see below), whose sum is σ = 1024320. Its totient is φ = 145152.

The previous prime is 448141. The next prime is 448157. The reversal of 448146 is 641844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448146.

It is not an unprimeable number, because it can be changed into a prime (448141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 2418.

It is an arithmetic number, because the mean of its divisors is an integer number (32010).

2448146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512160).

448146 is an abundant number, since it is smaller than the sum of its proper divisors (576174).

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

448146 is a wasteful number, since it uses less digits than its factorization.

448146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 448146 is about 669.4370769535. The cubic root of 448146 is about 76.5255585496.

The spelling of 448146 in words is "four hundred forty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 193 258 386 387 579 774 1158 1161 1737 2322 3474 5211 8299 10422 16598 24897 49794 74691 149382 224073 448146