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40822416 = 2432283489
BaseRepresentation
bin1001101110111…
…0011010010000
32211210222211100
42123232122100
540422304131
64014544400
71003661535
oct233563220
984728740
1040822416
1121052538
1211808100
1385c3c9b
1455c8d8c
1538b57e6
hex26ee690

40822416 has 30 divisors (see below), whose sum is σ = 114246470. Its totient is φ = 13607424.

The previous prime is 40822409. The next prime is 40822417. The reversal of 40822416 is 61422804.

40822416 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 only one way, i.e., 36000000 + 4822416 = 6000^2 + 2196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40822416.

It is not an unprimeable number, because it can be changed into a prime (40822417) 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 5 ways as a sum of consecutive naturals, for example, 141601 + ... + 141888.

Almost surely, 240822416 is an apocalyptic number.

It is an amenable number.

40822416 is an abundant number, since it is smaller than the sum of its proper divisors (73424054).

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

40822416 is a wasteful number, since it uses less digits than its factorization.

40822416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283503 (or 283494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40822416 is about 6389.2422085878. The cubic root of 40822416 is about 344.3231594567.

The spelling of 40822416 in words is "forty million, eight hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283489 566978 850467 1133956 1700934 2267912 2551401 3401868 4535824 5102802 6803736 10205604 13607472 20411208 40822416