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40676756 = 2241972557
BaseRepresentation
bin1001101100101…
…0110110010100
32211112121000112
42123022312110
540403124011
64011502152
71002514061
oct233126624
984477015
1040676756
1120a6305a
1211757958
1385728b3
14558bc68
15388758b
hex26cad94

40676756 has 24 divisors (see below), whose sum is σ = 73701096. Its totient is φ = 19630080.

The previous prime is 40676749. The next prime is 40676759. The reversal of 40676756 is 65767604.

40676756 = T43 + T44 + ... + T624.

40676756 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 99856 + 40576900 = 316^2 + 6370^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40676759) 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, 14630 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (3070879).

Almost surely, 240676756 is an apocalyptic number.

It is an amenable number.

40676756 is a deficient number, since it is larger than the sum of its proper divisors (33024340).

40676756 is a wasteful number, since it uses less digits than its factorization.

40676756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 40676756 is about 6377.8331743626. The cubic root of 40676756 is about 343.9131405903.

The spelling of 40676756 in words is "forty million, six hundred seventy-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 41 82 97 164 194 388 2557 3977 5114 7954 10228 15908 104837 209674 248029 419348 496058 992116 10169189 20338378 40676756