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244889088 = 2933137139
BaseRepresentation
bin11101001100010…
…11011000000000
3122001210122200020
432212023120000
51000142422323
640144453440
76032344233
oct1646133000
9561718606
10244889088
11116262884
126a01a280
133b9732b2
142474941a
1516774ae3
hexe98b600

244889088 has 160 divisors (see below), whose sum is σ = 696622080. Its totient is φ = 76308480.

The previous prime is 244889077. The next prime is 244889111. The reversal of 244889088 is 880988442.

It is a self number, because there is not a number n which added to its sum of digits gives 244889088.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1761723 + ... + 1761861.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2244889088 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 244889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348311040).

244889088 is an abundant number, since it is smaller than the sum of its proper divisors (451732992).

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

244889088 is a wasteful number, since it uses less digits than its factorization.

244889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 244889088 is about 15648.9324875533. The cubic root of 244889088 is about 625.6380368594.

The spelling of 244889088 in words is "two hundred forty-four million, eight hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 139 148 186 192 222 248 256 278 296 372 384 417 444 496 512 556 592 744 768 834 888 992 1112 1147 1184 1488 1536 1668 1776 1984 2224 2294 2368 2976 3336 3441 3552 3968 4309 4448 4588 4736 5143 5952 6672 6882 7104 7936 8618 8896 9176 9472 10286 11904 12927 13344 13764 14208 15429 15872 17236 17792 18352 18944 20572 23808 25854 26688 27528 28416 30858 34472 35584 36704 41144 47616 51708 53376 55056 56832 61716 68944 71168 73408 82288 103416 106752 110112 123432 137888 146816 159433 164576 206832 213504 220224 246864 275776 293632 318866 329152 413664 440448 478299 493728 551552 587264 637732 658304 827328 880896 956598 987456 1103104 1275464 1316608 1654656 1761792 1913196 1974912 2206208 2550928 2633216 3309312 3826392 3949824 5101856 6618624 7652784 7899648 10203712 15305568 20407424 30611136 40814848 61222272 81629696 122444544 244889088