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448910 = 25711253
BaseRepresentation
bin1101101100110001110
3211210210022
41231212032
5103331120
613342142
73546530
oct1554616
9753708
10448910
11287300
12197952
13129437
14b9850
158d025
hex6d98e

448910 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 137280.

The previous prime is 448907. The next prime is 448927. The reversal of 448910 is 19844.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 448910.

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 448910.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8444 + ... + 8496.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2448910 is an apocalyptic number.

448910 is an abundant number, since it is smaller than the sum of its proper divisors (585298).

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

448910 is a wasteful number, since it uses less digits than its factorization.

448910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 448910 is about 670.0074626450. The cubic root of 448910 is about 76.5690208246.

The spelling of 448910 in words is "four hundred forty-eight thousand, nine hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 53 55 70 77 106 110 121 154 242 265 371 385 530 583 605 742 770 847 1166 1210 1694 1855 2915 3710 4081 4235 5830 6413 8162 8470 12826 20405 32065 40810 44891 64130 89782 224455 448910