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448136 = 231331139
BaseRepresentation
bin1101101011010001000
3211202201122
41231122020
5103320021
613334412
73544343
oct1553210
9752648
10448136
11286767
12197408
13128c90
14b945a
158cbab
hex6d688

448136 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 198720.

The previous prime is 448121. The next prime is 448139. The reversal of 448136 is 631844.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448139) by changing a digit.

448136 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, 3155 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2448136 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 448136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

448136 is an abundant number, since it is smaller than the sum of its proper divisors (492664).

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

448136 is a wasteful number, since it uses less digits than its factorization.

448136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 448136 is about 669.4296079499. The cubic root of 448136 is about 76.5249893442.

The spelling of 448136 in words is "four hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 139 248 278 403 556 806 1112 1612 1807 3224 3614 4309 7228 8618 14456 17236 34472 56017 112034 224068 448136