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40644006 = 23131035059
BaseRepresentation
bin1001101100001…
…0110110100110
32211110221002120
42123002312212
540401102011
64011050410
71002316434
oct233026646
984427076
1040644006
1120a40497
1211740a06
138560a10
14557dd54
15387ca06
hex26c2da6

40644006 has 32 divisors (see below), whose sum is σ = 88408320. Its totient is φ = 12381984.

The previous prime is 40644001. The next prime is 40644031. The reversal of 40644006 is 60044604.

40644006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40644001) 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, 5505 + ... + 10563.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 240644006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40644006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44204160).

40644006 is an abundant number, since it is smaller than the sum of its proper divisors (47764314).

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

40644006 is a wasteful number, since it uses less digits than its factorization.

40644006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40644006 is about 6375.2651709556. The cubic root of 40644006 is about 343.8208177621.

The spelling of 40644006 in words is "forty million, six hundred forty-four thousand, six".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 5059 8034 10118 15177 30354 65767 131534 197301 394602 521077 1042154 1563231 3126462 6774001 13548002 20322003 40644006