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4001325405 = 35711328631
BaseRepresentation
bin1110111001111111…
…0110000101011101
3101022212012101120020
43232133312011131
531143314403110
61501014142353
7201104463510
oct35637660535
911285171506
104001325405
11177370a000
129380519b9
134b9c96a8c
1429d5bad77
15186437d70
hexee7f615d

4001325405 has 64 divisors (see below), whose sum is σ = 8048111616. Its totient is φ = 1662830400.

The previous prime is 4001325389. The next prime is 4001325407. The reversal of 4001325405 is 5045231004.

4001325405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4001325405 - 24 = 4001325389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001325407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125440 + ... + 154070.

It is an arithmetic number, because the mean of its divisors is an integer number (125751744).

Almost surely, 24001325405 is an apocalyptic number.

It is an amenable number.

4001325405 is an abundant number, since it is smaller than the sum of its proper divisors (4046786211).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4001325405 is a wasteful number, since it uses less digits than its factorization.

4001325405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28679 (or 28657 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4001325405 is about 63256.0305820718. The cubic root of 4001325405 is about 1587.5763617142.

Adding to 4001325405 its reverse (5045231004), we get a palindrome (9046556409).

The spelling of 4001325405 in words is "four billion, one million, three hundred twenty-five thousand, four hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1331 1815 2541 3993 4235 6655 9317 12705 19965 27951 28631 46585 85893 139755 143155 200417 314941 429465 601251 944823 1002085 1574705 2204587 3006255 3464351 4724115 6613761 10393053 11022935 17321755 24250457 33068805 38107861 51965265 72751371 114323583 121252285 190539305 266755027 363756855 571617915 800265081 1333775135 4001325405