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42841344 = 283713613
BaseRepresentation
bin1010001101101…
…1010100000000
32222121120021110
42203123110000
541431410334
64130123320
71030100610
oct243332400
988546243
1042841344
1122201377
1212420540
138b4cc10
145992a40
153b63ae9
hex28db500

42841344 has 144 divisors (see below), whose sum is σ = 140561792. Its totient is φ = 11280384.

The previous prime is 42841339. The next prime is 42841361. The reversal of 42841344 is 44314824.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69582 + ... + 70194.

Almost surely, 242841344 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 42841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70280896).

42841344 is an abundant number, since it is smaller than the sum of its proper divisors (97720448).

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

42841344 is a wasteful number, since it uses less digits than its factorization.

42841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 42841344 is about 6545.3299382079. The cubic root of 42841344 is about 349.9083950741.

The spelling of 42841344 in words is "forty-two million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 613 624 672 728 768 832 896 1092 1226 1248 1344 1456 1664 1792 1839 2184 2452 2496 2688 2912 3328 3678 4291 4368 4904 4992 5376 5824 7356 7969 8582 8736 9808 9984 11648 12873 14712 15938 17164 17472 19616 23296 23907 25746 29424 31876 34328 34944 39232 47814 51492 55783 58848 63752 68656 69888 78464 95628 102984 111566 117696 127504 137312 156928 167349 191256 205968 223132 235392 255008 274624 334698 382512 411936 446264 470784 510016 549248 669396 765024 823872 892528 1020032 1098496 1338792 1530048 1647744 1785056 2040064 2677584 3060096 3295488 3570112 5355168 6120192 7140224 10710336 14280448 21420672 42841344