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244871424 = 283472241
BaseRepresentation
bin11101001100001…
…11000100000000
3122001202202110000
432212013010000
51000141341144
640144240000
76032241600
oct1646070400
9561682400
10244871424
11116250586
126a010000
133b968245
1424742c00
151676e769
hexe987100

244871424 has 270 divisors, whose sum is σ = 852896814. Its totient is φ = 69672960.

The previous prime is 244871423. The next prime is 244871453. The reversal of 244871424 is 424178442.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 16257024 = 15120^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (244871423) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015944 + ... + 1016184.

Almost surely, 2244871424 is an apocalyptic number.

244871424 is a gapful number since it is divisible by the number (24) 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 244871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426448407).

244871424 is an abundant number, since it is smaller than the sum of its proper divisors (608025390).

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

244871424 is an equidigital number, since it uses as much as digits as its factorization.

244871424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 244871424 is about 15648.3680938301. The cubic root of 244871424 is about 625.6229939460.

The spelling of 244871424 in words is "two hundred forty-four million, eight hundred seventy-one thousand, four hundred twenty-four".