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40431012 = 22319383463
BaseRepresentation
bin1001101000111…
…0110110100100
32211002002220220
42122032312210
540322243022
64002324340
71000441446
oct232166644
984062826
1040431012
1120905466
12116596b0
1384b7a9b
145526496
15383985c
hex268eda4

40431012 has 48 divisors (see below), whose sum is σ = 99778560. Its totient is φ = 12706848.

The previous prime is 40431011. The next prime is 40431019. The reversal of 40431012 is 21013404.

40431012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40430982 and 40431000.

It is not an unprimeable number, because it can be changed into a prime (40431011) 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, 87093 + ... + 87555.

It is an arithmetic number, because the mean of its divisors is an integer number (2078720).

Almost surely, 240431012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49889280).

40431012 is an abundant number, since it is smaller than the sum of its proper divisors (59347548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40431012 is a wasteful number, since it uses less digits than its factorization.

40431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40431012 is about 6358.5385113248. The cubic root of 40431012 is about 343.2191704725.

Adding to 40431012 its reverse (21013404), we get a palindrome (61444416).

The spelling of 40431012 in words is "forty million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 383 463 766 926 1149 1389 1532 1852 2298 2778 4596 5556 7277 8797 14554 17594 21831 26391 29108 35188 43662 52782 87324 105564 177329 354658 531987 709316 1063974 2127948 3369251 6738502 10107753 13477004 20215506 40431012