Search a number
-
+
616121412 = 2231721011759
BaseRepresentation
bin100100101110010…
…100010001000100
31120221100012200120
4210232110101010
52230211341122
6141045341540
721160642224
oct4456242104
91527305616
10616121412
1129686a155
121524078b0
139a8517aa
145bb82084
153915475c
hex24b94444

616121412 has 72 divisors (see below), whose sum is σ = 1543153920. Its totient is φ = 191270400.

The previous prime is 616121381. The next prime is 616121413. The reversal of 616121412 is 214121616.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (616121413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 349389 + ... + 351147.

Almost surely, 2616121412 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 616121412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771576960).

616121412 is an abundant number, since it is smaller than the sum of its proper divisors (927032508).

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

616121412 is a wasteful number, since it uses less digits than its factorization.

616121412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1882 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 616121412 is about 24821.7930859154. The cubic root of 616121412 is about 850.9200703902.

The spelling of 616121412 in words is "six hundred sixteen million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 289 303 404 578 606 867 1156 1212 1717 1734 1759 3434 3468 3518 5151 5277 6868 7036 10302 10554 20604 21108 29189 29903 58378 59806 87567 89709 116756 119612 175134 177659 179418 350268 355318 358836 508351 532977 710636 1016702 1065954 1525053 2033404 2131908 3020203 3050106 6040406 6100212 9060609 12080812 18121218 36242436 51343451 102686902 154030353 205373804 308060706 616121412