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40649418 = 2332321423
BaseRepresentation
bin1001101100010…
…0001011001010
32211111012112000
42123010023022
540401240133
64011131430
71002341265
oct233041312
984435460
1040649418
1120a44567
1211743b76
138563314
145581cdc
15387e413
hex26c42ca

40649418 has 48 divisors (see below), whose sum is σ = 94496640. Its totient is φ = 12951576.

The previous prime is 40649383. The next prime is 40649419. The reversal of 40649418 is 81494604.

It is a happy number.

40649418 is a `hidden beast` number, since 4 + 0 + 649 + 4 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (40649419) 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 23 ways as a sum of consecutive naturals, for example, 27855 + ... + 29277.

It is an arithmetic number, because the mean of its divisors is an integer number (1968680).

Almost surely, 240649418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40649418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47248320).

40649418 is an abundant number, since it is smaller than the sum of its proper divisors (53847222).

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

40649418 is a wasteful number, since it uses less digits than its factorization.

40649418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40649418 is about 6375.6896097599. The cubic root of 40649418 is about 343.8360777054.

The spelling of 40649418 in words is "forty million, six hundred forty-nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1423 1587 2846 3174 4269 4761 8538 9522 12807 14283 25614 28566 32729 38421 65458 76842 98187 196374 294561 589122 752767 883683 1505534 1767366 2258301 4516602 6774903 13549806 20324709 40649418