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40442031 = 3371741307
BaseRepresentation
bin1001101001000…
…1100010101111
32211002200001000
42122101202233
540323121111
64002451343
71000515540
oct232214257
984080030
1040442031
1120912773
1211663b53
1384bcac6
14552a4c7
15383cc56
hex26918af

40442031 has 64 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 21150720.

The previous prime is 40442009. The next prime is 40442057. The reversal of 40442031 is 13024404.

40442031 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 40442031 - 26 = 40441967 is a prime.

It is a super-2 number, since 2×404420312 = 3271115742809922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40441995 and 40442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442131) 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, 131580 + ... + 131886.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 240442031 is an apocalyptic number.

40442031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40442031 is a deficient number, since it is larger than the sum of its proper divisors (34069329).

40442031 is a wasteful number, since it uses less digits than its factorization.

40442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40442031 is about 6359.4049249910. The cubic root of 40442031 is about 343.2503477654.

Adding to 40442031 its reverse (13024404), we get a palindrome (53466435).

The spelling of 40442031 in words is "forty million, four hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 9 17 21 27 41 51 63 119 123 153 189 287 307 357 369 459 697 861 921 1071 1107 2091 2149 2583 2763 3213 4879 5219 6273 6447 7749 8289 12587 14637 15657 18819 19341 36533 37761 43911 46971 58023 88109 109599 113283 131733 140913 213979 264327 328797 339849 641937 792981 986391 1497853 1925811 2378943 4493559 5777433 13480677 40442031