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4000395 = 357311229
BaseRepresentation
bin1111010000101010001011
321112020111210
433100222023
52011003040
6221424203
746000650
oct17205213
97466453
104000395
112292613
12140b063
13aa0ac9
14761c27
15540480
hex3d0a8b

4000395 has 32 divisors (see below), whose sum is σ = 7557120. Its totient is φ = 1768320.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000395 is 5930004.

4000395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000395 - 24 = 4000379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

4000395 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (236160).

Almost surely, 24000395 is an apocalyptic number.

4000395 is a deficient number, since it is larger than the sum of its proper divisors (3556725).

4000395 is a wasteful number, since it uses less digits than its factorization.

4000395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 4000395 is about 2000.0987475622. The cubic root of 4000395 is about 158.7453302200.

Adding to 4000395 its reverse (5930004), we get a palindrome (9930399).

The spelling of 4000395 in words is "four million, three hundred ninety-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 465 651 1085 1229 3255 3687 6145 8603 18435 25809 38099 43015 114297 129045 190495 266693 571485 800079 1333465 4000395