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12409393 = 31237349
BaseRepresentation
bin101111010101…
…101000110001
3212100110111011
4233111220301
511134100033
61121550521
7210322663
oct57255061
925313434
1012409393
1170063a7
1241a5441
132756449
141910533
151151ccd
hexbd5a31

12409393 has 12 divisors (see below), whose sum is σ = 13206900. Its totient is φ = 11651040.

The previous prime is 12409391. The next prime is 12409421. The reversal of 12409393 is 39390421.

It can be written as a sum of positive squares in 2 ways, for example, as 10195249 + 2214144 = 3193^2 + 1488^2 .

It is not a de Polignac number, because 12409393 - 21 = 12409391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

12409393 is a modest number, since divided by 9393 gives 1240 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12409391) 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 11 ways as a sum of consecutive naturals, for example, 35383 + ... + 35731.

It is an arithmetic number, because the mean of its divisors is an integer number (1100575).

Almost surely, 212409393 is an apocalyptic number.

It is an amenable number.

12409393 is a deficient number, since it is larger than the sum of its proper divisors (797507).

12409393 is an equidigital number, since it uses as much as digits as its factorization.

12409393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 12409393 is about 3522.6968362322. The cubic root of 12409393 is about 231.5173340755.

The spelling of 12409393 in words is "twelve million, four hundred nine thousand, three hundred ninety-three".

Divisors: 1 31 37 349 961 1147 10819 12913 35557 335389 400303 12409393