Search a number
-
+
42436386 = 2341719811
BaseRepresentation
bin1010000111100…
…0011100100010
32221211222210000
42201320130202
541330431021
64113320430
71023463146
oct241703442
987758700
1042436386
1121a550a3
1212266116
138a3a7b5
1458c9226
153ad3b26
hex2878722

42436386 has 80 divisors (see below), whose sum is σ = 106112160. Its totient is φ = 12597120.

The previous prime is 42436343. The next prime is 42436397. The reversal of 42436386 is 68363424.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42436386.

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 39 ways as a sum of consecutive naturals, for example, 51921 + ... + 52731.

It is an arithmetic number, because the mean of its divisors is an integer number (1326402).

Almost surely, 242436386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42436386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53056080).

42436386 is an abundant number, since it is smaller than the sum of its proper divisors (63675774).

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

42436386 is a wasteful number, since it uses less digits than its factorization.

42436386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42436386 is about 6514.3216070440. The cubic root of 42436386 is about 348.8023993414.

The spelling of 42436386 in words is "forty-two million, four hundred thirty-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 811 918 969 1026 1377 1539 1622 1938 2433 2754 2907 3078 4866 5814 7299 8721 13787 14598 15409 17442 21897 26163 27574 30818 41361 43794 46227 52326 65691 82722 92454 124083 131382 138681 248166 261953 277362 372249 416043 523906 744498 785859 832086 1116747 1248129 1571718 2233494 2357577 2496258 4715154 7072731 14145462 21218193 42436386