Search a number
-
+
40097305 = 517227749
BaseRepresentation
bin1001100011110…
…1011000011001
32210110011011101
42120331120121
540231103210
63551231401
7664551523
oct230753031
983404141
1040097305
11206a7776
1211518561
1383cbc21
14547aa13
1537c0a3a
hex263d619

40097305 has 12 divisors (see below), whose sum is σ = 51115500. Its totient is φ = 30189824.

The previous prime is 40097293. The next prime is 40097311. The reversal of 40097305 is 50379004.

40097305 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 6 ways, for example, as 419904 + 39677401 = 648^2 + 6299^2 .

It is not a de Polignac number, because 40097305 - 27 = 40097177 is a prime.

It is a super-3 number, since 3×400973053 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12430 + ... + 15319.

It is an arithmetic number, because the mean of its divisors is an integer number (4259625).

Almost surely, 240097305 is an apocalyptic number.

It is an amenable number.

40097305 is a deficient number, since it is larger than the sum of its proper divisors (11018195).

40097305 is a wasteful number, since it uses less digits than its factorization.

40097305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27788 (or 27771 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 40097305 is about 6332.2432833870. The cubic root of 40097305 is about 342.2722801198.

The spelling of 40097305 in words is "forty million, ninety-seven thousand, three hundred five".

Divisors: 1 5 17 85 289 1445 27749 138745 471733 2358665 8019461 40097305