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244255040 = 2654118617
BaseRepresentation
bin11101000111100…
…00100101000000
3122000121102220222
432203300211000
51000012130130
640123122212
76024063551
oct1643604500
9560542828
10244255040
1111596a477
1269973368
133b7b0813
1424622328
151669bce5
hexe8f0940

244255040 has 56 divisors (see below), whose sum is σ = 595850472. Its totient is φ = 95313920.

The previous prime is 244255001. The next prime is 244255043. The reversal of 244255040 is 40552442.

It can be written as a sum of positive squares in 4 ways, for example, as 28987456 + 215267584 = 5384^2 + 14672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244255043) 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, 3812 + ... + 22428.

It is an arithmetic number, because the mean of its divisors is an integer number (10640187).

Almost surely, 2244255040 is an apocalyptic number.

244255040 is a gapful number since it is divisible by the number (20) 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 244255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297925236).

244255040 is an abundant number, since it is smaller than the sum of its proper divisors (351595432).

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

244255040 is a wasteful number, since it uses less digits than its factorization.

244255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675 (or 18665 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 244255040 is about 15628.6608511414. The cubic root of 244255040 is about 625.0976188854.

The spelling of 244255040 in words is "two hundred forty-four million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 18617 37234 74468 93085 148936 186170 297872 372340 595744 744680 763297 1191488 1489360 1526594 2978720 3053188 3816485 5957440 6106376 7632970 12212752 15265940 24425504 30531880 48851008 61063760 122127520 244255040