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448868 = 227172341
BaseRepresentation
bin1101101100101100100
3211210201202
41231211210
5103330433
613342032
73546440
oct1554544
9753652
10448868
11287272
12197918
13129404
14b9820
158cee8
hex6d964

448868 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 168960.

The previous prime is 448867. The next prime is 448871. The reversal of 448868 is 868844.

448868 = T127 + T128 + ... + T167.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (448867) 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, 10928 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2448868 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 448868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

448868 is an abundant number, since it is smaller than the sum of its proper divisors (567196).

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

448868 is a wasteful number, since it uses less digits than its factorization.

448868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 448868 is about 669.9761189774. The cubic root of 448868 is about 76.5666328187.

The spelling of 448868 in words is "four hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 41 46 68 82 92 119 161 164 238 287 322 391 476 574 644 697 782 943 1148 1394 1564 1886 2737 2788 3772 4879 5474 6601 9758 10948 13202 16031 19516 26404 32062 64124 112217 224434 448868