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40676441 = 1322331033
BaseRepresentation
bin1001101100101…
…0110001011001
32211112120120212
42123022301121
540403121231
64011500505
71002513131
oct233126131
984476525
1040676441
1120a628a3
1211757735
138572700
14558bac1
15388742b
hex26cac59

40676441 has 12 divisors (see below), whose sum is σ = 44277948. Its totient is φ = 37350144.

The previous prime is 40676411. The next prime is 40676459. The reversal of 40676441 is 14467604.

40676441 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 6 ways, for example, as 2496400 + 38180041 = 1580^2 + 6179^2 .

It is not a de Polignac number, because 40676441 - 222 = 36482137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40676398 and 40676407.

It is not an unprimeable number, because it can be changed into a prime (40676401) 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, 38861 + ... + 39893.

It is an arithmetic number, because the mean of its divisors is an integer number (3689829).

Almost surely, 240676441 is an apocalyptic number.

It is an amenable number.

40676441 is a deficient number, since it is larger than the sum of its proper divisors (3601507).

40676441 is a wasteful number, since it uses less digits than its factorization.

40676441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 40676441 is about 6377.8084794073. The cubic root of 40676441 is about 343.9122528358.

The spelling of 40676441 in words is "forty million, six hundred seventy-six thousand, four hundred forty-one".

Divisors: 1 13 169 233 1033 3029 13429 39377 174577 240689 3128957 40676441