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40585940 = 22519710301
BaseRepresentation
bin1001101011010…
…0101011010100
32211100222102222
42122310223110
540342222230
64005521512
71001655233
oct232645324
984328388
1040585940
1120a008aa
1211713298
138540465
145566b1a
15386a6e5
hex26b4ad4

40585940 has 24 divisors (see below), whose sum is σ = 85671432. Its totient is φ = 16150400.

The previous prime is 40585939. The next prime is 40585949. The reversal of 40585940 is 4958504.

40585940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26357956 + 14227984 = 5134^2 + 3772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40585940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40585949) 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 7 ways as a sum of consecutive naturals, for example, 1211 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (3569643).

Almost surely, 240585940 is an apocalyptic number.

It is an amenable number.

40585940 is an abundant number, since it is smaller than the sum of its proper divisors (45085492).

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

40585940 is a wasteful number, since it uses less digits than its factorization.

40585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 40585940 is about 6370.7095366215. The cubic root of 40585940 is about 343.6570066909.

The spelling of 40585940 in words is "forty million, five hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 10301 20602 41204 51505 103010 206020 2029297 4058594 8117188 10146485 20292970 40585940