Search a number
-
+
40440637 = 172413413
BaseRepresentation
bin1001101001000…
…1001100111101
32211002121010101
42122101030331
540323100022
64002441101
71000511506
oct232211475
984077111
1040440637
1120911716
1211663191
1384bc293
145529bad
15383c627
hex269133d

40440637 has 12 divisors (see below), whose sum is σ = 44020116. Its totient is φ = 37122560.

The previous prime is 40440629. The next prime is 40440661. The reversal of 40440637 is 73604404.

40440637 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 3218436 + 37222201 = 1794^2 + 6101^2 .

It is not a de Polignac number, because 40440637 - 23 = 40440629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40441637) 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 11 ways as a sum of consecutive naturals, for example, 10143 + ... + 13555.

It is an arithmetic number, because the mean of its divisors is an integer number (3668343).

Almost surely, 240440637 is an apocalyptic number.

It is an amenable number.

40440637 is a deficient number, since it is larger than the sum of its proper divisors (3579479).

40440637 is a wasteful number, since it uses less digits than its factorization.

40440637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 40440637 is about 6359.2953225967. The cubic root of 40440637 is about 343.2464038777.

It can be divided in two parts, 404 and 40637, that added together give a triangular number (41041 = T286).

The spelling of 40440637 in words is "forty million, four hundred forty thousand, six hundred thirty-seven".

Divisors: 1 17 41 289 697 3413 11849 58021 139933 986357 2378861 40440637