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404011904 = 2713723039
BaseRepresentation
bin11000000101001…
…011101110000000
31001011012221010212
4120011023232000
51311411340104
6104031213252
713004021162
oct3005135600
91034187125
10404011904
1119806613a
12b3377228
13659176ca
143b92a932
152570736e
hex1814bb80

404011904 has 32 divisors (see below), whose sum is σ = 810777600. Its totient is φ = 200522752.

The previous prime is 404011901. The next prime is 404011931. The reversal of 404011904 is 409110404.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 404011904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404011901) 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 3 ways as a sum of consecutive naturals, for example, 6017 + ... + 29055.

It is an arithmetic number, because the mean of its divisors is an integer number (25336800).

Almost surely, 2404011904 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 404011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405388800).

404011904 is an abundant number, since it is smaller than the sum of its proper divisors (406765696).

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

404011904 is a wasteful number, since it uses less digits than its factorization.

404011904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23190 (or 23178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 404011904 is about 20100.0473631283. The cubic root of 404011904 is about 739.2614398936.

The spelling of 404011904 in words is "four hundred four million, eleven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 23039 46078 92156 184312 368624 737248 1474496 2948992 3156343 6312686 12625372 25250744 50501488 101002976 202005952 404011904