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5385417 = 319107883
BaseRepresentation
bin10100100010110011001001
3101010121101220
4110202303021
52334313132
6311232253
763526632
oct24426311
911117356
105385417
113049164
121978689
13116734b
14a02889
15715a2c
hex522cc9

5385417 has 16 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 3365712.

The previous prime is 5385409. The next prime is 5385431. The reversal of 5385417 is 7145835.

It is not a de Polignac number, because 5385417 - 23 = 5385409 is a prime.

5385417 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5385437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5658 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 25385417 is an apocalyptic number.

5385417 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5385417 is a deficient number, since it is larger than the sum of its proper divisors (2252343).

5385417 is a wasteful number, since it uses less digits than its factorization.

5385417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012.

The product of its digits is 16800, while the sum is 33.

The square root of 5385417 is about 2320.6501244263. The cubic root of 5385417 is about 175.2829924664.

The spelling of 5385417 in words is "five million, three hundred eighty-five thousand, four hundred seventeen".

Divisors: 1 3 19 57 107 321 883 2033 2649 6099 16777 50331 94481 283443 1795139 5385417