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40432007 = 721175013
BaseRepresentation
bin1001101000111…
…1000110000111
32211002011021202
42122033012013
540322311012
64002333115
71000444400
oct232170607
984064252
1040432007
1120906190
121165a19b
1384b8385
1455269a7
153839cc2
hex268f187

40432007 has 12 divisors (see below), whose sum is σ = 51309576. Its totient is φ = 31505040.

The previous prime is 40431977. The next prime is 40432013. The reversal of 40432007 is 70023404.

It is a happy number.

40432007 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 40432007 - 220 = 39383431 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40432007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40432037) 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, 36968 + ... + 38045.

It is an arithmetic number, because the mean of its divisors is an integer number (4275798).

Almost surely, 240432007 is an apocalyptic number.

40432007 is a deficient number, since it is larger than the sum of its proper divisors (10877569).

40432007 is a wasteful number, since it uses less digits than its factorization.

40432007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75038 (or 75031 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 40432007 is about 6358.6167520932. The cubic root of 40432007 is about 343.2219859702.

It can be divided in two parts, 4043200 and 7, that multiplied together give a square (28302400 = 53202).

The spelling of 40432007 in words is "forty million, four hundred thirty-two thousand, seven".

Divisors: 1 7 11 49 77 539 75013 525091 825143 3675637 5776001 40432007