Search a number
449996688 = 24331496991
BaseRepresentation
bin11010110100100…
…110011110010000
31011100202012102000
4122310212132100
51410144343223
6112352554000
714102623461
oct3264463620
91140665360
10449996688
11211014199
12106852900
13722c833b
152978c543

449996688 has 80 divisors (see below), whose sum is σ = 1300512000. Its totient is φ = 148970880.

The previous prime is 449996653. The next prime is 449996693. The reversal of 449996688 is 886699944.

It can be divided in two parts, 4499966 and 88, that added together give a palindrome (4500054).

449996688 is a `hidden beast` number, since 4 + 499 + 9 + 66 + 88 = 666.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60873 + ... + 67863.

It is an arithmetic number, because the mean of its divisors is an integer number (16256400).

Almost surely, 2449996688 is an apocalyptic number.

449996688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449996688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650256000).

449996688 is an abundant number, since it is smaller than the sum of its proper divisors (850515312).

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

449996688 is a wasteful number, since it uses less digits than its factorization.

449996688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7145 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 449996688 is about 21213.1253708641. The cubic root of 449996688 is about 766.3075523765.

The spelling of 449996688 in words is "four hundred forty-nine million, nine hundred ninety-six thousand, six hundred eighty-eight".