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13286848 = 263137181
BaseRepresentation
bin110010101011…
…110111000000
3221000001010111
4302223313000
511400134343
61152441104
7220636111
oct62536700
927001114
1013286848
117555673
124549194
1329a2953
141a9c208
151276c9d
hexcabdc0

13286848 has 56 divisors (see below), whose sum is σ = 28106624. Its totient is φ = 6220800.

The previous prime is 13286839. The next prime is 13286849. The reversal of 13286848 is 84868231.

13286848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13286848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286849) 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, 73318 + ... + 73498.

It is an arithmetic number, because the mean of its divisors is an integer number (501904).

Almost surely, 213286848 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 13286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053312).

13286848 is an abundant number, since it is smaller than the sum of its proper divisors (14819776).

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

13286848 is a wasteful number, since it uses less digits than its factorization.

13286848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 13286848 is about 3645.1128926276. The cubic root of 13286848 is about 236.8503271410.

The spelling of 13286848 in words is "thirteen million, two hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 181 248 296 362 496 592 724 992 1147 1184 1448 1984 2294 2368 2896 4588 5611 5792 6697 9176 11222 11584 13394 18352 22444 26788 36704 44888 53576 73408 89776 107152 179552 207607 214304 359104 415214 428608 830428 1660856 3321712 6643424 13286848