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13048427 = 731157383
BaseRepresentation
bin110001110001…
…101001101011
3220112221002002
4301301221223
511320022202
61143401215
7215624030
oct61615153
926487062
1013048427
117402527
12445320b
13291b282
141a39387
15122b302
hexc71a6b

13048427 has 16 divisors (see below), whose sum is σ = 15532032. Its totient is φ = 10726560.

The previous prime is 13048417. The next prime is 13048433. The reversal of 13048427 is 72484031.

It is a cyclic number.

It is not a de Polignac number, because 13048427 - 24 = 13048411 is a prime.

It is a super-2 number, since 2×130484272 = 340522894348658, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13048427.

It is not an unprimeable number, because it can be changed into a prime (13048417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33878 + ... + 34260.

It is an arithmetic number, because the mean of its divisors is an integer number (970752).

Almost surely, 213048427 is an apocalyptic number.

13048427 is a deficient number, since it is larger than the sum of its proper divisors (2483605).

13048427 is a wasteful number, since it uses less digits than its factorization.

13048427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 13048427 is about 3612.2606495102. The cubic root of 13048427 is about 235.4250764253.

The spelling of 13048427 in words is "thirteen million, forty-eight thousand, four hundred twenty-seven".

Divisors: 1 7 31 157 217 383 1099 2681 4867 11873 34069 60131 83111 420917 1864061 13048427