Search a number
-
+
40166633 = 135397601
BaseRepresentation
bin1001100100111…
…0010011101001
32210120200021002
42121032103221
540240313013
63552524345
7665260613
oct231162351
983520232
1040166633
1120744871
12115506b5
138424650
145497db3
1537d6358
hex264e4e9

40166633 has 16 divisors (see below), whose sum is σ = 44600976. Its totient is φ = 35942400.

The previous prime is 40166603. The next prime is 40166713. The reversal of 40166633 is 33666104.

40166633 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 8 ways, for example, as 262144 + 39904489 = 512^2 + 6317^2 .

It is not a de Polignac number, because 40166633 - 26 = 40166569 is a prime.

It is a super-2 number, since 2×401666332 = 3226716813113378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40166596 and 40166605.

It is not an unprimeable number, because it can be changed into a prime (40166603) 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 15 ways as a sum of consecutive naturals, for example, 66533 + ... + 67133.

It is an arithmetic number, because the mean of its divisors is an integer number (2787561).

Almost surely, 240166633 is an apocalyptic number.

It is an amenable number.

40166633 is a deficient number, since it is larger than the sum of its proper divisors (4434343).

40166633 is a wasteful number, since it uses less digits than its factorization.

40166633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 40166633 is about 6337.7151245540. The cubic root of 40166633 is about 342.4694287807.

The spelling of 40166633 in words is "forty million, one hundred sixty-six thousand, six hundred thirty-three".

Divisors: 1 13 53 97 601 689 1261 5141 7813 31853 58297 66833 414089 757861 3089741 40166633