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42718500 = 22325311863
BaseRepresentation
bin1010001011110…
…1010100100100
32222101022202200
42202331110210
541413443000
64123334500
71026046506
oct242752444
988338680
1042718500
1122128050
1212381430
138b09026
14595dd76
153b3c500
hex28bd524

42718500 has 144 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 10344000.

The previous prime is 42718471. The next prime is 42718519. The reversal of 42718500 is 581724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49069 + ... + 49931.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 242718500 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 42718500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

42718500 is an abundant number, since it is smaller than the sum of its proper divisors (104465628).

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

42718500 is a wasteful number, since it uses less digits than its factorization.

42718500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42718500 is about 6535.9391062035. The cubic root of 42718500 is about 349.5736304680.

The spelling of 42718500 in words is "forty-two million, seven hundred eighteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 863 900 990 1100 1125 1375 1500 1650 1726 1980 2250 2475 2589 2750 3300 3452 4125 4315 4500 4950 5178 5500 7767 8250 8630 9493 9900 10356 12375 12945 15534 16500 17260 18986 21575 24750 25890 28479 31068 37972 38835 43150 47465 49500 51780 56958 64725 77670 85437 86300 94930 107875 113916 129450 142395 155340 170874 189860 194175 215750 237325 258900 284790 323625 341748 388350 427185 431500 474650 569580 647250 711975 776700 854370 949300 970875 1186625 1294500 1423950 1708740 1941750 2135925 2373250 2847900 3559875 3883500 4271850 4746500 7119750 8543700 10679625 14239500 21359250 42718500