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4040904 = 233767359
BaseRepresentation
bin1111011010100011001000
321121022002010
433122203020
52013302104
6222335520
746230030
oct17324310
97538063
104040904
11230aa9a
12142a5a0
13ab638a
147728c0
1554c489
hex3da8c8

4040904 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1134144.

The previous prime is 4040903. The next prime is 4040921. The reversal of 4040904 is 4090404.

It is a happy number.

4040904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11077 + ... + 11435.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 24040904 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 4040904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4040904 is an abundant number, since it is smaller than the sum of its proper divisors (7709496).

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

4040904 is a wasteful number, since it uses less digits than its factorization.

4040904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4040904 is about 2010.1999900507. The cubic root of 4040904 is about 159.2793633068.

The spelling of 4040904 in words is "four million, forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 359 402 469 536 718 804 938 1077 1407 1436 1608 1876 2154 2513 2814 2872 3752 4308 5026 5628 7539 8616 10052 11256 15078 20104 24053 30156 48106 60312 72159 96212 144318 168371 192424 288636 336742 505113 577272 673484 1010226 1346968 2020452 4040904