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40415331 = 3112111337
BaseRepresentation
bin1001101000101…
…1000001100011
32211001022102010
42122023001203
540321242311
64002124003
71000344645
oct232130143
984038363
1040415331
11208a4700
1211650603
1384b08c8
145520895
153834da6
hex268b063

40415331 has 12 divisors (see below), whose sum is σ = 59231816. Its totient is φ = 24493920.

The previous prime is 40415329. The next prime is 40415339. The reversal of 40415331 is 13351404.

It is not a de Polignac number, because 40415331 - 21 = 40415329 is a prime.

It is a super-2 number, since 2×404153312 = 3266797959679122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40415298 and 40415307.

It is not an unprimeable number, because it can be changed into a prime (40415339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55306 + ... + 56031.

Almost surely, 240415331 is an apocalyptic number.

40415331 is a deficient number, since it is larger than the sum of its proper divisors (18816485).

40415331 is a wasteful number, since it uses less digits than its factorization.

40415331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111362 (or 111351 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 40415331 is about 6357.3053253717. The cubic root of 40415331 is about 343.1747926917.

Adding to 40415331 its reverse (13351404), we get a palindrome (53766735).

The spelling of 40415331 in words is "forty million, four hundred fifteen thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 363 111337 334011 1224707 3674121 13471777 40415331