Search a number
-
+
317248544 = 25312411327
BaseRepresentation
bin10010111010001…
…101010000100000
3211002221220012002
4102322031100200
51122203423134
651251423132
710601365604
oct2272152040
9732856162
10317248544
11153095588
128a2b4aa8
1350959a42
14301c3504
151ccb987e
hex12e8d420

317248544 has 48 divisors (see below), whose sum is σ = 647894016. Its totient is φ = 152755200.

The previous prime is 317248537. The next prime is 317248573. The reversal of 317248544 is 445842713.

It is a junction number, because it is equal to n+sod(n) for n = 317248498 and 317248507.

It is an unprimeable number.

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, 238409 + ... + 239735.

It is an arithmetic number, because the mean of its divisors is an integer number (13497792).

Almost surely, 2317248544 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 317248544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323947008).

317248544 is an abundant number, since it is smaller than the sum of its proper divisors (330645472).

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

317248544 is a wasteful number, since it uses less digits than its factorization.

317248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 317248544 is about 17811.4722580701. The cubic root of 317248544 is about 682.0243481932.

The spelling of 317248544 in words is "three hundred seventeen million, two hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 241 248 482 496 964 992 1327 1928 2654 3856 5308 7471 7712 10616 14942 21232 29884 41137 42464 59768 82274 119536 164548 239072 319807 329096 639614 658192 1279228 1316384 2558456 5116912 9914017 10233824 19828034 39656068 79312136 158624272 317248544