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40247424 = 2732722331
BaseRepresentation
bin1001100110001…
…0000010000000
32210201210002100
42121202002000
540300404144
63554350400
7666045300
oct231420200
983653070
1040247424
112079a538
121158b400
138452359
1454b9600
153800269
hex2662080

40247424 has 288 divisors, whose sum is σ = 145117440. Its totient is φ = 10644480.

The previous prime is 40247423. The next prime is 40247429. The reversal of 40247424 is 42474204.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (40247423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1298289 + ... + 1298319.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 240247424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

40247424 is an abundant number, since it is smaller than the sum of its proper divisors (104870016).

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

40247424 is a wasteful number, since it uses less digits than its factorization.

40247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 40247424 is about 6344.0857497357. The cubic root of 40247424 is about 342.6988888701.

The spelling of 40247424 in words is "forty million, two hundred forty-seven thousand, four hundred twenty-four".