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40905963 = 327798219
BaseRepresentation
bin1001110000001…
…0110011101011
32211222020102200
42130002303223
540432442323
64020431243
71004460240
oct234026353
984866380
1040905963
11210aa28a
1211848523
138623017
14560b5c7
1538d0443
hex2702ceb

40905963 has 24 divisors (see below), whose sum is σ = 68390400. Its totient is φ = 23076144.

The previous prime is 40905959. The next prime is 40905989. The reversal of 40905963 is 36950904.

40905963 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 40905963 - 22 = 40905959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40905923) 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, 868 + ... + 9086.

It is an arithmetic number, because the mean of its divisors is an integer number (2849600).

Almost surely, 240905963 is an apocalyptic number.

40905963 is a deficient number, since it is larger than the sum of its proper divisors (27484437).

40905963 is a wasteful number, since it uses less digits than its factorization.

40905963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40905963 is about 6395.7769660925. The cubic root of 40905963 is about 344.5578962114.

The spelling of 40905963 in words is "forty million, nine hundred five thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 4977 8219 24657 57533 73971 172599 517797 649301 1947903 4545107 5843709 13635321 40905963