Search a number
-
+
1649231808 = 2637379317
BaseRepresentation
bin110001001001101…
…0100011111000000
311020221022122201120
41202103110133000
511334200404213
6431352432240
755604145000
oct14223243700
94227278646
101649231808
11776a482a4
123a03a8680
132038b2613
1411906c000
1599bc6423
hex624d47c0

1649231808 has 224 divisors, whose sum is σ = 5169408000. Its totient is φ = 463776768.

The previous prime is 1649231797. The next prime is 1649231839. The reversal of 1649231808 is 8081329461.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1649231808.

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, 5202466 + ... + 5202782.

Almost surely, 21649231808 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 1649231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584704000).

1649231808 is an abundant number, since it is smaller than the sum of its proper divisors (3520176192).

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

1649231808 is an equidigital number, since it uses as much as digits as its factorization.

1649231808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1649231808 is about 40610.7351324745. The cubic root of 1649231808 is about 1181.4823389350.

The spelling of 1649231808 in words is "one billion, six hundred forty-nine million, two hundred thirty-one thousand, eight hundred eight".