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13824149 = 53972689
BaseRepresentation
bin110100101111…
…000010010101
3222000100011112
4310233002111
512014333044
61212144405
7225334433
oct64570225
928010145
1013824149
117892319
124768105
132b30391
141b9bd53
15133109e
hexd2f095

13824149 has 8 divisors (see below), whose sum is σ = 14235480. Its totient is φ = 13418496.

The previous prime is 13824121. The next prime is 13824169. The reversal of 13824149 is 94142831.

It is a happy number.

13824149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 13359025 = 682^2 + 3655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13824149 is a prime.

It is a super-2 number, since 2×138241492 = 382214191148402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824119) 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, 3797 + ... + 6485.

It is an arithmetic number, because the mean of its divisors is an integer number (1779435).

Almost surely, 213824149 is an apocalyptic number.

It is an amenable number.

13824149 is a deficient number, since it is larger than the sum of its proper divisors (411331).

13824149 is an equidigital number, since it uses as much as digits as its factorization.

13824149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839.

The product of its digits is 6912, while the sum is 32.

The square root of 13824149 is about 3718.0840496148. The cubic root of 13824149 is about 240.0008622654. Note that the first 3 decimals are identical.

The spelling of 13824149 in words is "thirteen million, eight hundred twenty-four thousand, one hundred forty-nine".

Divisors: 1 53 97 2689 5141 142517 260833 13824149