Search a number
-
+
6249028608 = 210332331317
BaseRepresentation
bin1011101000111100…
…01001110000000000
3121010111122112201000
411310132021300000
5100244222403413
62512030212000
7310566603204
oct56436116000
917114575630
106249028608
112717460759
121264954000
1378785b284
14433d14b04
15268929073
hex174789c00

6249028608 has 352 divisors, whose sum is σ = 19997061120. Its totient is φ = 1922088960.

The previous prime is 6249028549. The next prime is 6249028613. The reversal of 6249028608 is 8068209426.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19712866 + ... + 19713182.

Almost surely, 26249028608 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 6249028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998530560).

6249028608 is an abundant number, since it is smaller than the sum of its proper divisors (13748032512).

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

6249028608 is a wasteful number, since it uses less digits than its factorization.

6249028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6249028608 is about 79050.7976430346. The cubic root of 6249028608 is about 1841.9203140097.

The spelling of 6249028608 in words is "six billion, two hundred forty-nine million, twenty-eight thousand, six hundred eight".