[go: up one dir, main page]

Search a number
-
+
40580001 = 33711131149
BaseRepresentation
bin1001101011001…
…1001110100001
32211100200022000
42122303032201
540342030001
64005434213
71001632020
oct232631641
984320260
1040580001
11209a73a0
121170b969
13853a847
1455648b7
153868a86
hex26b33a1

40580001 has 64 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 20779200.

The previous prime is 40579963. The next prime is 40580011. The reversal of 40580001 is 10008504.

40580001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40580001 - 29 = 40579489 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 (40580011) 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 63 ways as a sum of consecutive naturals, for example, 272275 + ... + 272423.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 240580001 is an apocalyptic number.

It is an amenable number.

40580001 is a deficient number, since it is larger than the sum of its proper divisors (35451999).

40580001 is a wasteful number, since it uses less digits than its factorization.

40580001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40580001 is about 6370.2434019431. The cubic root of 40580001 is about 343.6402432623.

Adding to 40580001 its reverse (10008504), we get a palindrome (50588505).

The spelling of 40580001 in words is "forty million, five hundred eighty thousand, one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 131 149 189 231 297 393 447 693 917 1043 1179 1341 1441 1639 2079 2751 3129 3537 4023 4323 4917 8253 9387 10087 11473 12969 14751 19519 24759 28161 30261 34419 38907 44253 58557 90783 103257 136633 175671 214709 272349 309771 409899 527013 644127 1229697 1502963 1932381 3689091 4508889 5797143 13526667 40580001