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4000041 = 32444449
BaseRepresentation
bin1111010000100100101001
321112020000200
433100210221
52011000131
6221422413
745666633
oct17204451
97466020
104000041
112292321
12140aa09
13aa08b6
14761a53
155402e6
hex3d0929

4000041 has 6 divisors (see below), whose sum is σ = 5777850. Its totient is φ = 2666688.

The previous prime is 4000039. The next prime is 4000043. The reversal of 4000041 is 1400004.

It is an interprime number because it is at equal distance from previous prime (4000039) and next prime (4000043).

It can be written as a sum of positive squares in only one way, i.e., 3515625 + 484416 = 1875^2 + 696^2 .

It is not a de Polignac number, because 4000041 - 21 = 4000039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 444449 = 4000041 / (4 + 0 + 0 + 0 + 0 + 4 + 1).

4000041 is a modest number, since divided by 41 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3999987 and 4000032.

It is not an unprimeable number, because it can be changed into a prime (4000043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222216 + ... + 222233.

It is an arithmetic number, because the mean of its divisors is an integer number (962975).

Almost surely, 24000041 is an apocalyptic number.

It is an amenable number.

4000041 is a deficient number, since it is larger than the sum of its proper divisors (1777809).

4000041 is a wasteful number, since it uses less digits than its factorization.

4000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444455 (or 444452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4000041 is about 2000.0102499737. The cubic root of 4000041 is about 158.7406475570.

Adding to 4000041 its reverse (1400004), we get a palindrome (5400045).

The spelling of 4000041 in words is "four million, forty-one", and thus it is an aban number.

Divisors: 1 3 9 444449 1333347 4000041