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448074 = 232113173
BaseRepresentation
bin1101101011001001010
3211202122100
41231121022
5103314244
613334230
73544224
oct1553112
9752570
10448074
11286710
12197376
13128c43
14b9414
158cb69
hex6d64a

448074 has 48 divisors (see below), whose sum is σ = 1108224. Its totient is φ = 129600.

The previous prime is 448073. The next prime is 448093. The reversal of 448074 is 470844.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448074.

It is not an unprimeable number, because it can be changed into a prime (448073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 6174.

It is an arithmetic number, because the mean of its divisors is an integer number (23088).

2448074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554112).

448074 is an abundant number, since it is smaller than the sum of its proper divisors (660150).

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

448074 is a wasteful number, since it uses less digits than its factorization.

448074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 448074 is about 669.3832982679. The cubic root of 448074 is about 76.5214600822.

It can be divided in two parts, 4480 and 74, that added together give a palindrome (4554).

The spelling of 448074 in words is "four hundred forty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 73 93 99 146 186 198 219 279 341 438 558 657 682 803 1023 1314 1606 2046 2263 2409 3069 4526 4818 6138 6789 7227 13578 14454 20367 24893 40734 49786 74679 149358 224037 448074