Search a number
-
+
649819456 = 2611131937101
BaseRepresentation
bin100110101110110…
…111010101000000
31200021202020201021
4212232313111000
52312323210311
6144251515224
722050242236
oct4656672500
91607666637
10649819456
11303895a80
12161758b14
13a481ca70
1462434956
153c0ae171
hex26bb7540

649819456 has 224 divisors, whose sum is σ = 1653966720. Its totient is φ = 248832000.

The previous prime is 649819447. The next prime is 649819459. The reversal of 649819456 is 654918946.

It is a happy number.

649819456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6498194562 = 844530650792271872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649819459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6433806 + ... + 6433906.

It is an arithmetic number, because the mean of its divisors is an integer number (7383780).

Almost surely, 2649819456 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 649819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826983360).

649819456 is an abundant number, since it is smaller than the sum of its proper divisors (1004147264).

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

649819456 is a wasteful number, since it uses less digits than its factorization.

649819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 649819456 is about 25491.5565629092. The cubic root of 649819456 is about 866.1588957228.

The spelling of 649819456 in words is "six hundred forty-nine million, eight hundred nineteen thousand, four hundred fifty-six".