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244402144 = 2572115171
BaseRepresentation
bin11101001000101…
…00011111100000
3122000212220201021
432210110133200
51000031332034
640130215224
76025245460
oct1644243740
9560786637
10244402144
11115a5aa48
1269a24514
133b83276c
142465dba0
15166ca6b4
hexe9147e0

244402144 has 48 divisors (see below), whose sum is σ = 552617856. Its totient is φ = 104227200.

The previous prime is 244402139. The next prime is 244402159. The reversal of 244402144 is 441204442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44679 + ... + 49849.

It is an arithmetic number, because the mean of its divisors is an integer number (11512872).

Almost surely, 2244402144 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 244402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276308928).

244402144 is an abundant number, since it is smaller than the sum of its proper divisors (308215712).

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

244402144 is a wasteful number, since it uses less digits than its factorization.

244402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 244402144 is about 15633.3663681243. The cubic root of 244402144 is about 625.2230832447.

Adding to 244402144 its reverse (441204442), we get a palindrome (685606586).

The spelling of 244402144 in words is "two hundred forty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2954 3376 5171 5908 6752 10342 11816 20684 23632 36197 41368 47264 72394 82736 144788 165472 289576 579152 1091081 1158304 2182162 4364324 7637567 8728648 15275134 17457296 30550268 34914592 61100536 122201072 244402144