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40585757 = 533732053
BaseRepresentation
bin1001101011010…
…0101000011101
32211100222012012
42122310220131
540342221012
64005521005
71001654552
oct232645035
984328165
1040585757
1120a00753
1211713165
138540354
145566a29
15386a622
hex26b4a1d

40585757 has 8 divisors (see below), whose sum is σ = 41482584. Its totient is φ = 39693888.

The previous prime is 40585747. The next prime is 40585793. The reversal of 40585757 is 75758504.

40585757 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 10621081 + 29964676 = 3259^2 + 5474^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40585757 - 220 = 39537181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40585717) 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, 18743 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (5185323).

Almost surely, 240585757 is an apocalyptic number.

It is an amenable number.

40585757 is a deficient number, since it is larger than the sum of its proper divisors (896827).

40585757 is a wasteful number, since it uses less digits than its factorization.

40585757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479.

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 40585757 is about 6370.6951739979. The cubic root of 40585757 is about 343.6564901793.

The spelling of 40585757 in words is "forty million, five hundred eighty-five thousand, seven hundred fifty-seven".

Divisors: 1 53 373 2053 19769 108809 765769 40585757