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404830112 = 25171953739
BaseRepresentation
bin11000001000010…
…011011110100000
31001012202111111212
4120020103132200
51312114030422
6104100525252
713013666501
oct3010233640
91035674455
10404830112
11198574945
12b36b0828
1365b42c5b
143baa0ba8
15258199e2
hex182137a0

404830112 has 96 divisors (see below), whose sum is σ = 906292800. Its totient is φ = 176836608.

The previous prime is 404830109. The next prime is 404830121. The reversal of 404830112 is 211038404.

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 15 ways as a sum of consecutive naturals, for example, 547439 + ... + 548177.

It is an arithmetic number, because the mean of its divisors is an integer number (9440550).

Almost surely, 2404830112 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 404830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453146400).

404830112 is an abundant number, since it is smaller than the sum of its proper divisors (501462688).

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

404830112 is a wasteful number, since it uses less digits than its factorization.

404830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 404830112 is about 20120.3904534678. The cubic root of 404830112 is about 739.7601560190.

Adding to 404830112 its reverse (211038404), we get a palindrome (615868516).

The spelling of 404830112 in words is "four hundred four million, eight hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 68 76 106 136 152 212 272 304 323 424 544 608 646 739 848 901 1007 1292 1478 1696 1802 2014 2584 2956 3604 4028 5168 5912 7208 8056 10336 11824 12563 14041 14416 16112 17119 23648 25126 28082 28832 32224 34238 39167 50252 56164 68476 78334 100504 112328 136952 156668 201008 224656 238697 273904 313336 402016 449312 477394 547808 626672 665839 744173 954788 1253344 1331678 1488346 1909576 2663356 2976692 3819152 5326712 5953384 7638304 10653424 11906768 12650941 21306848 23813536 25301882 50603764 101207528 202415056 404830112