Search a number
-
+
115443008 = 263121877
BaseRepresentation
bin1101110000110…
…00010101000000
322001020010000222
412320120111000
5214023134013
615242202212
72601151352
oct670302500
9261203028
10115443008
115a18a04a
12327b3368
131abbc995
14114910d2
15a205508
hex6e18540

115443008 has 42 divisors (see below), whose sum is σ = 236836458. Its totient is φ = 55829760.

The previous prime is 115443001. The next prime is 115443017. The reversal of 115443008 is 800344511.

It can be written as a sum of positive squares in only one way, i.e., 103388224 + 12054784 = 10168^2 + 3472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115443001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60566 + ... + 62442.

Almost surely, 2115443008 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 115443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118418229).

115443008 is an abundant number, since it is smaller than the sum of its proper divisors (121393450).

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

115443008 is an equidigital number, since it uses as much as digits as its factorization.

115443008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 115443008 is about 10744.4407951275. The cubic root of 115443008 is about 486.9180544813.

Adding to 115443008 its reverse (800344511), we get a palindrome (915787519).

The spelling of 115443008 in words is "one hundred fifteen million, four hundred forty-three thousand, eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1877 1922 1984 3754 3844 7508 7688 15016 15376 30032 30752 58187 60064 61504 116374 120128 232748 465496 930992 1803797 1861984 3607594 3723968 7215188 14430376 28860752 57721504 115443008