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40435104 = 2532318313
BaseRepresentation
bin1001101000111…
…1110110100000
32211002022112110
42122033312200
540322410404
64002355320
71000456413
oct232176640
984068473
1040435104
1120908546
121165bb40
1384b98c8
145527b7a
15383ab89
hex268fda0

40435104 has 48 divisors (see below), whose sum is σ = 110763072. Its totient is φ = 12891648.

The previous prime is 40435079. The next prime is 40435133. The reversal of 40435104 is 40153404.

40435104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×404351043 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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, 6949 + ... + 11364.

It is an arithmetic number, because the mean of its divisors is an integer number (2307564).

Almost surely, 240435104 is an apocalyptic number.

It is an amenable number.

40435104 is an abundant number, since it is smaller than the sum of its proper divisors (70327968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40435104 is a wasteful number, since it uses less digits than its factorization.

40435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40435104 is about 6358.8602752380. The cubic root of 40435104 is about 343.2307490883.

Adding to 40435104 its reverse (40153404), we get a palindrome (80588508).

The spelling of 40435104 in words is "forty million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 18313 36626 54939 73252 109878 146504 219756 293008 421199 439512 586016 842398 879024 1263597 1684796 1758048 2527194 3369592 5054388 6739184 10108776 13478368 20217552 40435104