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42718104 = 23341113461
BaseRepresentation
bin1010001011110…
…1001110011000
32222101022020000
42202331032120
541413434404
64123333000
71026045402
oct242751630
988338200
1042718104
1122127820
1212381160
138b08ab0
14595db72
153b3c339
hex28bd398

42718104 has 160 divisors (see below), whose sum is σ = 140873040. Its totient is φ = 11923200.

The previous prime is 42718097. The next prime is 42718111. The reversal of 42718104 is 40181724.

42718104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42718097) and next prime (42718111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92434 + ... + 92894.

Almost surely, 242718104 is an apocalyptic number.

42718104 is a gapful number since it is divisible by the number (44) 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 42718104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70436520).

42718104 is an abundant number, since it is smaller than the sum of its proper divisors (98154936).

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

42718104 is a wasteful number, since it uses less digits than its factorization.

42718104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 42718104 is about 6535.9088120934. The cubic root of 42718104 is about 349.5725502835.

Adding to 42718104 its reverse (40181724), we get a palindrome (82899828).

The spelling of 42718104 in words is "forty-two million, seven hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 461 468 572 594 648 702 792 858 891 922 936 1053 1144 1188 1287 1383 1404 1716 1782 1844 2106 2376 2574 2766 2808 3432 3564 3688 3861 4149 4212 5071 5148 5532 5993 7128 7722 8298 8424 10142 10296 11064 11583 11986 12447 15213 15444 16596 17979 20284 23166 23972 24894 30426 30888 33192 35958 37341 40568 45639 46332 47944 49788 53937 60852 65923 71916 74682 91278 92664 99576 107874 121704 131846 136917 143832 149364 161811 182556 197769 215748 263692 273834 298728 323622 365112 395538 410751 431496 485433 527384 547668 593307 647244 791076 821502 970866 1095336 1186614 1294488 1582152 1643004 1779921 1941732 2373228 3286008 3559842 3883464 4746456 5339763 7119684 10679526 14239368 21359052 42718104