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4000797 = 321779331
BaseRepresentation
bin1111010000110000011101
321112021001200
433100300131
52011011142
6221430113
746002063
oct17206035
97467050
104000797
112292949
12140b339
13aa1048
14762033
1554064c
hex3d0c1d

4000797 has 24 divisors (see below), whose sum is σ = 6215040. Its totient is φ = 2471040.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000797 is 7970004.

4000797 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 4000797 - 27 = 4000669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11922 + ... + 12252.

It is an arithmetic number, because the mean of its divisors is an integer number (258960).

Almost surely, 24000797 is an apocalyptic number.

It is an amenable number.

4000797 is a deficient number, since it is larger than the sum of its proper divisors (2214243).

4000797 is a wasteful number, since it uses less digits than its factorization.

4000797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 4000797 is about 2000.1992400758. The cubic root of 4000797 is about 158.7506474853.

It can be divided in two parts, 40007 and 97, that added together give a palindrome (40104).

The spelling of 4000797 in words is "four million, seven hundred ninety-seven", and thus it is an aban number.

Divisors: 1 3 9 17 51 79 153 237 331 711 993 1343 2979 4029 5627 12087 16881 26149 50643 78447 235341 444533 1333599 4000797