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4006387 = 72117433
BaseRepresentation
bin1111010010000111110011
321112112201201
433102013303
52011201022
6221512031
746024300
oct17220763
97475651
104006387
112297070
121412617
13aa3758
147640a7
15542127
hex3d21f3

4006387 has 12 divisors (see below), whose sum is σ = 5084856. Its totient is φ = 3121440.

The previous prime is 4006381. The next prime is 4006403. The reversal of 4006387 is 7836004.

It is not a de Polignac number, because 4006387 - 27 = 4006259 is a prime.

It is a super-3 number, since 3×40063873 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4006381) 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, 3178 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (423738).

Almost surely, 24006387 is an apocalyptic number.

4006387 is a deficient number, since it is larger than the sum of its proper divisors (1078469).

4006387 is a wasteful number, since it uses less digits than its factorization.

4006387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4006387 is about 2001.5961131057. The cubic root of 4006387 is about 158.8245496882.

The spelling of 4006387 in words is "four million, six thousand, three hundred eighty-seven".

Divisors: 1 7 11 49 77 539 7433 52031 81763 364217 572341 4006387