| Base | Representation |
|---|---|
| bin | 1110111010011000… |
| … | …1111000100011001 |
| 3 | 101022222100111111112 |
| 4 | 3232212033010121 |
| 5 | 31144232004401 |
| 6 | 1501114110105 |
| 7 | 201124641455 |
| oct | 35646170431 |
| 9 | 11288314445 |
| 10 | 4003000601 |
| 11 | 1774653666 |
| 12 | 93871b335 |
| 13 | 4ba432412 |
| 14 | 29d8d5665 |
| 15 | 1866693bb |
| hex | ee98f119 |
4003000601 has 12 divisors (see below), whose sum is σ = 4120170012. Its totient is φ = 3889161600.
The previous prime is 4003000597. The next prime is 4003000627. The reversal of 4003000601 is 1060003004.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 2741046025 + 1261954576 = 52355^2 + 35524^2 .
It is not a de Polignac number, because 4003000601 - 22 = 4003000597 is a prime.
It is a super-2 number, since 2×40030006012 = 32048027623212722402, which contains 22 as substring.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4003000691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16609841 + ... + 16610081.
It is an arithmetic number, because the mean of its divisors is an integer number (343347501).
Almost surely, 24003000601 is an apocalyptic number.
4003000601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.
It is an amenable number.
4003000601 is a deficient number, since it is larger than the sum of its proper divisors (117169411).
4003000601 is an frugal number, since it uses more digits than its factorization.
4003000601 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 605 (or 282 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 4003000601 is about 63269.2705900740. The cubic root of 4003000601 is about 1587.7978825225.
Adding to 4003000601 its reverse (1060003004), we get a palindrome (5063003605).
The spelling of 4003000601 in words is "four billion, three million, six hundred one", and thus it is an aban number.
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