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4001301 = 32444589
BaseRepresentation
bin1111010000111000010101
321112021202100
433100320111
52011020201
6221432313
746003413
oct17207025
97467670
104001301
112293267
12140b699
13aa1345
147622b3
15540886
hex3d0e15

4001301 has 6 divisors (see below), whose sum is σ = 5779670. Its totient is φ = 2667528.

The previous prime is 4001269. The next prime is 4001303. The reversal of 4001301 is 1031004.

4001301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2802276 + 1199025 = 1674^2 + 1095^2 .

It is not a de Polignac number, because 4001301 - 25 = 4001269 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: 444589 = 4001301 / (4 + 0 + 0 + 1 + 3 + 0 + 1).

It is a Duffinian number.

4001301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001303) 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 5 ways as a sum of consecutive naturals, for example, 222286 + ... + 222303.

Almost surely, 24001301 is an apocalyptic number.

It is an amenable number.

4001301 is a deficient number, since it is larger than the sum of its proper divisors (1778369).

4001301 is a wasteful number, since it uses less digits than its factorization.

4001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444595 (or 444592 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4001301 is about 2000.3252235574. The cubic root of 4001301 is about 158.7573134044.

Adding to 4001301 its reverse (1031004), we get a palindrome (5032305).

The spelling of 4001301 in words is "four million, one thousand, three hundred one".

Divisors: 1 3 9 444589 1333767 4001301