Base | Representation |
---|---|
bin | 110100110101… |
… | …000111100000 |
3 | 222001121100000 |
4 | 310311013200 |
5 | 12021132211 |
6 | 1212500000 |
7 | 225500154 |
oct | 64650740 |
9 | 28047300 |
10 | 13849056 |
11 | 78aa001 |
12 | 477a600 |
13 | 2b3b810 |
14 | 1ba7064 |
15 | 1338656 |
hex | d351e0 |
13849056 has 144 divisors (see below), whose sum is σ = 44304624. Its totient is φ = 4230144.
The previous prime is 13849009. The next prime is 13849057. The reversal of 13849056 is 65094831.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×138490562 = 383592704182272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 13849056.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13849057) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 101020 + ... + 101156.
It is an arithmetic number, because the mean of its divisors is an integer number (307671).
Almost surely, 213849056 is an apocalyptic number.
13849056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13849056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152312).
13849056 is an abundant number, since it is smaller than the sum of its proper divisors (30455568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13849056 is a wasteful number, since it uses less digits than its factorization.
13849056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 155 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 13849056 is about 3721.4319824498. The cubic root of 13849056 is about 240.1449124839.
It can be divided in two parts, 1384 and 9056, that added together give a triangular number (10440 = T144).
The spelling of 13849056 in words is "thirteen million, eight hundred forty-nine thousand, fifty-six".
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