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168448 = 29747
BaseRepresentation
bin101001001000000000
322120001211
4221020000
520342243
63335504
71301050
oct511000
9276054
10168448
11105615
1281594
135b897
1445560
1534d9d
hex29200

168448 has 40 divisors (see below), whose sum is σ = 392832. Its totient is φ = 70656.

The previous prime is 168433. The next prime is 168449. The reversal of 168448 is 844861.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3561 + ... + 3607.

2168448 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 168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

168448 is an abundant number, since it is smaller than the sum of its proper divisors (224384).

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

168448 is an frugal number, since it uses more digits than its factorization.

168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 168448 is about 410.4241708282. The cubic root of 168448 is about 55.2274875352.

It can be divided in two parts, 168 and 448, that added together give a palindrome (616).

The spelling of 168448 in words is "one hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 752 896 1316 1504 1792 2632 3008 3584 5264 6016 10528 12032 21056 24064 42112 84224 168448