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40207959 = 3211461881
BaseRepresentation
bin1001100101100…
…0011001010111
32210122202221200
42121120121113
540243123314
63553443543
7665522241
oct231303127
983582850
1040207959
1120772920
12115705b3
13843a3bc
1454a9091
1537e3709
hex2658657

40207959 has 24 divisors (see below), whose sum is σ = 63567504. Its totient is φ = 24288000.

The previous prime is 40207943. The next prime is 40207987. The reversal of 40207959 is 95970204.

40207959 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40207959 - 24 = 40207943 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40207859) 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 23 ways as a sum of consecutive naturals, for example, 45199 + ... + 46079.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646).

Almost surely, 240207959 is an apocalyptic number.

40207959 is a deficient number, since it is larger than the sum of its proper divisors (23359545).

40207959 is a wasteful number, since it uses less digits than its factorization.

40207959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40207959 is about 6340.9746096322. The cubic root of 40207959 is about 342.5868400043.

The spelling of 40207959 in words is "forty million, two hundred seven thousand, nine hundred fifty-nine".

Divisors: 1 3 9 11 33 99 461 881 1383 2643 4149 5071 7929 9691 15213 29073 45639 87219 406141 1218423 3655269 4467551 13402653 40207959