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4009296 = 243101827
BaseRepresentation
bin1111010010110101010000
321112200201110
433102311100
52011244141
6221533320
746035624
oct17226520
97480643
104009296
112299275
121414240
13aa4b85
14765184
15542e16
hex3d2d50

4009296 has 40 divisors (see below), whose sum is σ = 10472544. Its totient is φ = 1321600.

The previous prime is 4009249. The next prime is 4009307. The reversal of 4009296 is 6929004.

4009296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4435 + ... + 5261.

Almost surely, 24009296 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 4009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236272).

4009296 is an abundant number, since it is smaller than the sum of its proper divisors (6463248).

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

4009296 is a wasteful number, since it uses less digits than its factorization.

4009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4009296 is about 2002.3226513227. The cubic root of 4009296 is about 158.8629807265.

The spelling of 4009296 in words is "four million, nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 827 1212 1616 1654 2424 2481 3308 4848 4962 6616 9924 13232 19848 39696 83527 167054 250581 334108 501162 668216 1002324 1336432 2004648 4009296