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40824963 = 3212233709
BaseRepresentation
bin1001101110111…
…1000010000011
32211211010022200
42123233002003
540422344323
64015004243
71004002134
oct233570203
984733280
1040824963
1121054443
1211809683
1385c51aa
1455c9c8b
1538b6443
hex26ef083

40824963 has 12 divisors (see below), whose sum is σ = 59033520. Its totient is φ = 27187056.

The previous prime is 40824947. The next prime is 40824967. The reversal of 40824963 is 36942804.

It is a happy number.

40824963 is a `hidden beast` number, since 408 + 249 + 6 + 3 = 666.

40824963 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 40824963 - 24 = 40824947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40824967) 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, 9153 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (4919460).

Almost surely, 240824963 is an apocalyptic number.

40824963 is a deficient number, since it is larger than the sum of its proper divisors (18208557).

40824963 is a wasteful number, since it uses less digits than its factorization.

40824963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40824963 is about 6389.4415248909. The cubic root of 40824963 is about 344.3303203333.

It can be divided in two parts, 4082 and 4963, that added together give a triangular number (9045 = T134).

The spelling of 40824963 in words is "forty million, eight hundred twenty-four thousand, nine hundred sixty-three".

Divisors: 1 3 9 1223 3669 3709 11007 11127 33381 4536107 13608321 40824963