Search a number
-
+
6024162942 = 23671734721
BaseRepresentation
bin1011001110001000…
…10110111001111110
3120112211112012000000
411213010112321332
544314141203232
62433434415130
7302166353160
oct54704267176
916484465000
106024162942
112611534866
1212015914a6
137500a8c75
144120dc930
15253d0c27c
hex167116e7e

6024162942 has 112 divisors (see below), whose sum is σ = 16394895072. Its totient is φ = 1619896320.

The previous prime is 6024162941. The next prime is 6024162943. The reversal of 6024162942 is 2492614206.

6024162942 is a `hidden beast` number, since 6 + 0 + 24 + 1 + 629 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6024162941) and next prime (6024162943).

It is a junction number, because it is equal to n+sod(n) for n = 6024162897 and 6024162906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6024162941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 156142 + ... + 190862.

Almost surely, 26024162942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6024162942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197447536).

6024162942 is an abundant number, since it is smaller than the sum of its proper divisors (10370732130).

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

6024162942 is a wasteful number, since it uses less digits than its factorization.

6024162942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34765 (or 34750 counting only the distinct ones).

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

The square root of 6024162942 is about 77615.4813294358. The cubic root of 6024162942 is about 1819.5566023269.

The spelling of 6024162942 in words is "six billion, twenty-four million, one hundred sixty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1377 1458 1701 2142 2754 3213 3402 4131 5103 6426 8262 9639 10206 12393 19278 24786 28917 34721 57834 69442 86751 104163 173502 208326 243047 312489 486094 590257 624978 729141 937467 1180514 1458282 1770771 1874934 2187423 2812401 3541542 4131799 4374846 5312313 5624802 6562269 8263598 8437203 10624626 12395397 13124538 15936939 16874406 19686807 24790794 25311609 31873878 37186191 39373614 47810817 50623218 59060421 74372382 95621634 111558573 118120842 143432451 177181263 223117146 286864902 334675719 354362526 430297353 669351438 860594706 1004027157 2008054314 3012081471 6024162942