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244468016 = 24132714337
BaseRepresentation
bin11101001001001…
…00100100110000
3122001000021001222
432210210210300
51000040434031
640131444212
76025641512
oct1644444460
9561007058
10244468016
11115aa5491
1269a56668
133b856740
1424679bb2
15166dee7b
hexe924930

244468016 has 40 divisors (see below), whose sum is σ = 512092224. Its totient is φ = 112389120.

The previous prime is 244468013. The next prime is 244468039. The reversal of 244468016 is 610864442.

It is a super-2 number, since 2×2444680162 = 119529221693952512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244468013) 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, 54200 + ... + 58536.

Almost surely, 2244468016 is an apocalyptic number.

244468016 is a gapful number since it is divisible by the number (26) 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 244468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256046112).

244468016 is an abundant number, since it is smaller than the sum of its proper divisors (267624208).

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

244468016 is a wasteful number, since it uses less digits than its factorization.

244468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 244468016 is about 15635.4730021193. The cubic root of 244468016 is about 625.2792488669.

The spelling of 244468016 in words is "two hundred forty-four million, four hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 271 542 1084 2168 3523 4336 4337 7046 8674 14092 17348 28184 34696 56368 56381 69392 112762 225524 451048 902096 1175327 2350654 4701308 9402616 15279251 18805232 30558502 61117004 122234008 244468016