Search a number
-
+
442402194 = 2313192312979
BaseRepresentation
bin11010010111101…
…000010110010010
31010211110100201110
4122113220112102
51401223332234
6111522114150
713651233213
oct3227502622
91124410643
10442402194
112077a7353
121041ab956
1370869660
1442a8140a
1528c8c1e9
hex1a5e8592

442402194 has 64 divisors (see below), whose sum is σ = 1046707200. Its totient is φ = 123342912.

The previous prime is 442402097. The next prime is 442402199. The reversal of 442402194 is 491204244.

It is not an unprimeable number, because it can be changed into a prime (442402199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27597 + ... + 40575.

It is an arithmetic number, because the mean of its divisors is an integer number (16354800).

Almost surely, 2442402194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442402194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523353600).

442402194 is an abundant number, since it is smaller than the sum of its proper divisors (604305006).

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

442402194 is a wasteful number, since it uses less digits than its factorization.

442402194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13039.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 442402194 is about 21033.3590755257. The cubic root of 442402194 is about 761.9721368143.

The spelling of 442402194 in words is "four hundred forty-two million, four hundred two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 12979 17043 25958 34086 38937 77874 168727 246601 298517 337454 493202 506181 597034 739803 895551 1012362 1479606 1791102 3205813 3880721 5671823 6411626 7761442 9617439 11343646 11642163 17015469 19234878 23284326 34030938 73733699 147467398 221201097 442402194