Search a number
-
+
404392086 = 232719315449
BaseRepresentation
bin11000000110101…
…000100010010110
31001011221020122200
4120012220202112
51312011021321
6104043305330
713010163450
oct3006504226
91034836580
10404392086
111982a583a
12b351b246
1365a1b777
143b9c92d0
152577ed26
hex181a8896

404392086 has 96 divisors (see below), whose sum is σ = 1088256000. Its totient is φ = 105909120.

The previous prime is 404392069. The next prime is 404392091. The reversal of 404392086 is 680293404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 404392086.

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 47 ways as a sum of consecutive naturals, for example, 71490 + ... + 76938.

It is an arithmetic number, because the mean of its divisors is an integer number (11336000).

Almost surely, 2404392086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404392086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544128000).

404392086 is an abundant number, since it is smaller than the sum of its proper divisors (683863914).

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

404392086 is a wasteful number, since it uses less digits than its factorization.

404392086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404392086 is about 20109.5023807154. The cubic root of 404392086 is about 739.4932530136.

The spelling of 404392086 in words is "four hundred four million, three hundred ninety-two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 5449 8246 10602 10898 12369 16347 24738 32694 37107 38143 49041 74214 76286 98082 103531 114429 168919 207062 228858 310593 337838 343287 506757 621186 686574 724717 931779 1013514 1182433 1449434 1520271 1863558 2174151 2364866 3040542 3209461 3547299 4348302 6418922 6522453 7094598 9628383 10641897 13044906 19256766 21283794 22466227 28885149 44932454 57770298 67398681 134797362 202196043 404392086