Search a number
-
+
448050 = 235229103
BaseRepresentation
bin1101101011000110010
3211202121110
41231120302
5103314200
613334150
73544161
oct1553062
9752543
10448050
11286699
12197356
13128c25
14b93d8
158cb50
hex6d632

448050 has 48 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 114240.

The previous prime is 448031. The next prime is 448057. The reversal of 448050 is 50844.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (448057) by changing a digit.

448050 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 23 ways as a sum of consecutive naturals, for example, 4299 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2448050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

448050 is an abundant number, since it is smaller than the sum of its proper divisors (712590).

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

448050 is a wasteful number, since it uses less digits than its factorization.

448050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 448050 is about 669.3653710792. The cubic root of 448050 is about 76.5200938288.

Adding to 448050 its reverse (50844), we get a palindrome (498894).

The spelling of 448050 in words is "four hundred forty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 103 145 150 174 206 290 309 435 515 618 725 870 1030 1450 1545 2175 2575 2987 3090 4350 5150 5974 7725 8961 14935 15450 17922 29870 44805 74675 89610 149350 224025 448050