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40542649 = 727571093
BaseRepresentation
bin1001101010101…
…0000110111001
32211021210001121
42122222012321
540334331044
64004545241
71001415100
oct232520671
984253047
1040542649
1120981324
12116b2221
138526844
145555037
15385c984
hex26aa1b9

40542649 has 12 divisors (see below), whose sum is σ = 47267364. Its totient is φ = 34673184.

The previous prime is 40542647. The next prime is 40542653. The reversal of 40542649 is 94624504.

40542649 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 2 ways, for example, as 34574400 + 5968249 = 5880^2 + 2443^2 .

It is not a de Polignac number, because 40542649 - 21 = 40542647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40542641) 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 11 ways as a sum of consecutive naturals, for example, 36547 + ... + 37639.

It is an arithmetic number, because the mean of its divisors is an integer number (3938947).

Almost surely, 240542649 is an apocalyptic number.

40542649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

40542649 is a deficient number, since it is larger than the sum of its proper divisors (6724715).

40542649 is a wasteful number, since it uses less digits than its factorization.

40542649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 40542649 is about 6367.3109708887. The cubic root of 40542649 is about 343.5347759527.

The spelling of 40542649 in words is "forty million, five hundred forty-two thousand, six hundred forty-nine".

Divisors: 1 7 49 757 1093 5299 7651 37093 53557 827401 5791807 40542649