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4009801 = 29372101
BaseRepresentation
bin1111010010111101001001
321112201102011
433102331021
52011303201
6221535521
746040245
oct17227511
97481364
104009801
112299694
1214145a1
13aa5183
14765425
15543151
hex3d2f49

4009801 has 12 divisors (see below), whose sum is σ = 4305420. Its totient is φ = 3729600.

The previous prime is 4009799. The next prime is 4009823. The reversal of 4009801 is 1089004.

It can be written as a sum of positive squares in 6 ways, for example, as 1904400 + 2105401 = 1380^2 + 1451^2 .

It is not a de Polignac number, because 4009801 - 21 = 4009799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009861) 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, 39651 + ... + 39751.

It is an arithmetic number, because the mean of its divisors is an integer number (358785).

Almost surely, 24009801 is an apocalyptic number.

It is an amenable number.

4009801 is a deficient number, since it is larger than the sum of its proper divisors (295619).

4009801 is a wasteful number, since it uses less digits than its factorization.

4009801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 4009801 is about 2002.4487509048. The cubic root of 4009801 is about 158.8696504292.

It can be divided in two parts, 400 and 9801, that multiplied together give a square (3920400 = 19802).

The spelling of 4009801 in words is "four million, nine thousand, eight hundred one".

Divisors: 1 29 37 101 1073 1369 2929 3737 39701 108373 138269 4009801