Search a number
-
+
6242461216 = 253718129129
BaseRepresentation
bin1011101000001010…
…00110011000100000
3121010001021212221021
411310011012120200
5100241032224331
62511233335224
7310460021245
oct56405063040
917101255837
106242461216
112713785562
121262707514
1378639bc44
144330c55cc
1526807d211
hex174146620

6242461216 has 48 divisors (see below), whose sum is σ = 12692174040. Its totient is φ = 3019991040.

The previous prime is 6242461171. The next prime is 6242461259. The reversal of 6242461216 is 6121642426.

It can be written as a sum of positive squares in 4 ways, for example, as 4052595600 + 2189865616 = 63660^2 + 46796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199740 + ... + 228868.

Almost surely, 26242461216 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 6242461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346087020).

6242461216 is an abundant number, since it is smaller than the sum of its proper divisors (6449712824).

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

6242461216 is a wasteful number, since it uses less digits than its factorization.

6242461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29349 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 6242461216 is about 79009.2476612706. The cubic root of 6242461216 is about 1841.2748348695.

The spelling of 6242461216 in words is "six billion, two hundred forty-two million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 181 296 362 592 724 1184 1448 2896 5792 6697 13394 26788 29129 53576 58258 107152 116516 214304 233032 466064 932128 1077773 2155546 4311092 5272349 8622184 10544698 17244368 21089396 34488736 42178792 84357584 168715168 195076913 390153826 780307652 1560615304 3121230608 6242461216