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12840848 = 241722777
BaseRepresentation
bin110000111110…
…111110010000
3220011101022222
4300332332100
511241401343
61135120212
7214100606
oct60767620
926141288
1012840848
117280579
124373068
132877947
1419c3876
1511d9a68
hexc3ef90

12840848 has 30 divisors (see below), whose sum is σ = 26438226. Its totient is φ = 6040576.

The previous prime is 12840833. The next prime is 12840859. The reversal of 12840848 is 84804821.

It can be written as a sum of positive squares in 3 ways, for example, as 2930944 + 9909904 = 1712^2 + 3148^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3236 + ... + 6012.

Almost surely, 212840848 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 12840848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219113).

12840848 is an abundant number, since it is smaller than the sum of its proper divisors (13597378).

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

12840848 is a wasteful number, since it uses less digits than its factorization.

12840848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 12840848 is about 3583.4128983415. The cubic root of 12840848 is about 234.1699887378.

The spelling of 12840848 in words is "twelve million, eight hundred forty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 2777 4624 5554 11108 22216 44432 47209 94418 188836 377672 755344 802553 1605106 3210212 6420424 12840848