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12641448 = 2332941443
BaseRepresentation
bin110000001110…
…010010101000
3212210020210210
4300032102220
511214011243
61130541120
7212310351
oct60162250
925706723
1012641448
117154786
1242977a0
132807c61
141970d28
15119a933
hexc0e4a8

12641448 has 64 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 3960320.

The previous prime is 12641443. The next prime is 12641509. The reversal of 12641448 is 84414621.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12641443) 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, 28315 + ... + 28757.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 212641448 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 12641448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

12641448 is an abundant number, since it is smaller than the sum of its proper divisors (20924952).

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

12641448 is a wasteful number, since it uses less digits than its factorization.

12641448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12641448 is about 3555.4814020045. The cubic root of 12641448 is about 232.9515516304.

The spelling of 12641448 in words is "twelve million, six hundred forty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 443 492 696 886 984 1189 1329 1772 2378 2658 3544 3567 4756 5316 7134 9512 10632 12847 14268 18163 25694 28536 36326 38541 51388 54489 72652 77082 102776 108978 145304 154164 217956 308328 435912 526727 1053454 1580181 2106908 3160362 4213816 6320724 12641448