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12704848 = 2413173593
BaseRepresentation
bin110000011101…
…110001010000
3212220110202221
4300131301100
511223023343
61132150424
7212663242
oct60356120
925813687
1012704848
117198382
124308414
13282aa80
14198a092
1511ae5ed
hexc1dc50

12704848 has 40 divisors (see below), whose sum is σ = 28076328. Its totient is φ = 5517312.

The previous prime is 12704843. The next prime is 12704849. The reversal of 12704848 is 84840721.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 11916304 = 888^2 + 3452^2 .

It is a super-2 number, since 2×127048482 = 322826325406208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1740 + ... + 5332.

Almost surely, 212704848 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 12704848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038164).

12704848 is an abundant number, since it is smaller than the sum of its proper divisors (15371480).

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

12704848 is a wasteful number, since it uses less digits than its factorization.

12704848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 12704848 is about 3564.3860621431. The cubic root of 12704848 is about 233.3403390187.

The spelling of 12704848 in words is "twelve million, seven hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 3593 7186 14372 28744 46709 57488 61081 93418 122162 186836 244324 373672 488648 747344 794053 977296 1588106 3176212 6352424 12704848