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8007393 = 329312969
BaseRepresentation
bin11110100010111011100001
3120001211002010
4132202323201
54022214033
6443343133
7125030112
oct36427341
916054063
108007393
11457a089
122821aa9
131874904
1410c6209
15a82863
hex7a2ee1

8007393 has 16 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 4986240.

The previous prime is 8007383. The next prime is 8007401. The reversal of 8007393 is 3937008.

It is not a de Polignac number, because 8007393 - 212 = 8003297 is a prime.

It is a Curzon number.

8007393 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8007393.

It is not an unprimeable number, because it can be changed into a prime (8007313) 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, 1213 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 28007393 is an apocalyptic number.

It is an amenable number.

8007393 is a deficient number, since it is larger than the sum of its proper divisors (3397407).

8007393 is a wasteful number, since it uses less digits than its factorization.

8007393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 8007393 is about 2829.7337330569. The cubic root of 8007393 is about 200.0615893651.

The spelling of 8007393 in words is "eight million, seven thousand, three hundred ninety-three".

Divisors: 1 3 29 31 87 93 899 2697 2969 8907 86101 92039 258303 276117 2669131 8007393