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19468944 = 24331117241
BaseRepresentation
bin100101001000…
…1001010010000
31100122010101000
41022101022100
514441001234
61533142000
7324324525
oct112211220
940563330
1019468944
11aa98340
12662a900
1340587b1
14282b14c
151a98899
hex1291290

19468944 has 160 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 5529600.

The previous prime is 19468931. The next prime is 19468949. The reversal of 19468944 is 44986491.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19468944.

It is not an unprimeable number, because it can be changed into a prime (19468949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80664 + ... + 80904.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 219468944 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 19468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

19468944 is an abundant number, since it is smaller than the sum of its proper divisors (45348336).

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

19468944 is a wasteful number, since it uses less digits than its factorization.

19468944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 19468944 is about 4412.3626324227. The cubic root of 19468944 is about 269.0176648939.

The spelling of 19468944 in words is "nineteen million, four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 241 264 272 297 306 374 396 408 432 459 482 528 561 594 612 723 748 792 816 918 964 1122 1188 1224 1446 1496 1584 1683 1836 1928 2169 2244 2376 2448 2651 2892 2992 3366 3672 3856 4097 4338 4488 4752 5049 5302 5784 6507 6732 7344 7953 8194 8676 8976 10098 10604 11568 12291 13014 13464 15906 16388 17352 20196 21208 23859 24582 26028 26928 31812 32776 34704 36873 40392 42416 45067 47718 49164 52056 63624 65552 71577 73746 80784 90134 95436 98328 104112 110619 127248 135201 143154 147492 180268 190872 196656 221238 270402 286308 294984 360536 381744 405603 442476 540804 572616 589968 721072 811206 884952 1081608 1145232 1216809 1622412 1769904 2163216 2433618 3244824 4867236 6489648 9734472 19468944