Search a number
-
+
404011050 = 23525389571
BaseRepresentation
bin11000000101001…
…011100000101010
31001011012212222020
4120011023200222
51311411323200
6104031205310
713004015532
oct3005134052
91034185866
10404011050
11198065533
12b3376836
13659171c1
143b92a4c2
1525706ea0
hex1814b82a

404011050 has 96 divisors (see below), whose sum is σ = 1034130240. Its totient is φ = 104332800.

The previous prime is 404011043. The next prime is 404011051. The reversal of 404011050 is 50110404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (404011051) 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 47 ways as a sum of consecutive naturals, for example, 707265 + ... + 707835.

It is an arithmetic number, because the mean of its divisors is an integer number (10772190).

Almost surely, 2404011050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404011050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

404011050 is an abundant number, since it is smaller than the sum of its proper divisors (630119190).

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

404011050 is a wasteful number, since it uses less digits than its factorization.

404011050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 404011050 is about 20100.0261193860. The cubic root of 404011050 is about 739.2609190098.

Adding to 404011050 its reverse (50110404), we get a palindrome (454121454).

The spelling of 404011050 in words is "four hundred four million, eleven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 89 106 150 159 178 265 267 318 445 530 534 571 795 890 1142 1325 1335 1590 1713 2225 2650 2670 2855 3426 3975 4450 4717 5710 6675 7950 8565 9434 13350 14151 14275 17130 23585 28302 28550 30263 42825 47170 50819 60526 70755 85650 90789 101638 117925 141510 151315 152457 181578 235850 254095 302630 304914 353775 453945 508190 707550 756575 762285 907890 1270475 1513150 1524570 2269725 2540950 2693407 3811425 4539450 5386814 7622850 8080221 13467035 16160442 26934070 40401105 67335175 80802210 134670350 202005525 404011050