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426472848 = 243211326209
BaseRepresentation
bin11001011010110…
…111010110010000
31002201111001202200
4121122313112100
51333134112343
6110152443200
713365650034
oct3132672620
91081431680
10426472848
111a98073aa
12ba9a9500
136a47ccc9
14408d61c4
15276924d3
hex196b7590

426472848 has 60 divisors (see below), whose sum is σ = 1204139820. Its totient is φ = 140894208.

The previous prime is 426472847. The next prime is 426472861. The reversal of 426472848 is 848274624.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 364504464 = 7872^2 + 19092^2 .

It is a super-2 number, since 2×4264728482 = 363758180162462208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426472847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3168 + ... + 29376.

It is an arithmetic number, because the mean of its divisors is an integer number (20068997).

Almost surely, 2426472848 is an apocalyptic number.

426472848 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 426472848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602069910).

426472848 is an abundant number, since it is smaller than the sum of its proper divisors (777666972).

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

426472848 is a wasteful number, since it uses less digits than its factorization.

426472848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26336 (or 26327 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 426472848 is about 20651.2190439209. The cubic root of 426472848 is about 752.7148118717.

The spelling of 426472848 in words is "four hundred twenty-six million, four hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 26209 52418 78627 104836 157254 209672 235881 314508 419344 471762 629016 943524 1258032 1887048 2961617 3774096 5923234 8884851 11846468 17769702 23692936 26654553 35539404 47385872 53309106 71078808 106618212 142157616 213236424 426472848