Search a number
-
+
114447008 = 25131032671
BaseRepresentation
bin1101101001001…
…01001010100000
321222100111210002
412310211022200
5213244301013
615204555132
72556532514
oct664451240
9258314702
10114447008
1159669805
12323b2aa8
131a931530
14112b2144
15a0aa358
hex6d252a0

114447008 has 48 divisors (see below), whose sum is σ = 245097216. Its totient is φ = 52289280.

The previous prime is 114447001. The next prime is 114447017. The reversal of 114447008 is 800744411.

It is not an unprimeable number, because it can be changed into a prime (114447001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41513 + ... + 44183.

It is an arithmetic number, because the mean of its divisors is an integer number (5106192).

Almost surely, 2114447008 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 114447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122548608).

114447008 is an abundant number, since it is smaller than the sum of its proper divisors (130650208).

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

114447008 is a wasteful number, since it uses less digits than its factorization.

114447008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 114447008 is about 10697.9908394053. The cubic root of 114447008 is about 485.5136910352.

The spelling of 114447008 in words is "one hundred fourteen million, four hundred forty-seven thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 206 208 412 416 824 1339 1648 2671 2678 3296 5342 5356 10684 10712 21368 21424 34723 42736 42848 69446 85472 138892 275113 277784 550226 555568 1100452 1111136 2200904 3576469 4401808 7152938 8803616 14305876 28611752 57223504 114447008