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13879648 = 254171149
BaseRepresentation
bin110100111100…
…100101100000
3222010011022001
4310330211200
512023122043
61213253344
7225655306
oct64744540
928104261
1013879648
11791aa92
124794254
132b4c713
141bb4276
15134274d
hexd3c960

13879648 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 6630400.

The previous prime is 13879637. The next prime is 13879651. The reversal of 13879648 is 84697831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13879598 and 13879607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93078 + ... + 93226.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 213879648 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 13879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

13879648 is an abundant number, since it is smaller than the sum of its proper divisors (14697152).

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

13879648 is a wasteful number, since it uses less digits than its factorization.

13879648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 13879648 is about 3725.5399608647. The cubic root of 13879648 is about 240.3216058848.

The spelling of 13879648 in words is "thirteen million, eight hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 71 82 142 149 164 284 298 328 568 596 656 1136 1192 1312 2272 2384 2911 4768 5822 6109 10579 11644 12218 21158 23288 24436 42316 46576 48872 84632 93152 97744 169264 195488 338528 433739 867478 1734956 3469912 6939824 13879648