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42978390 = 23572132173
BaseRepresentation
bin1010001111110…
…0110001010110
32222212112021020
42203330301112
542000302030
64133102010
71031211300
oct243746126
988775236
1042978390
1122295334
1212487906
138b9a400
1459ca970
153b8e510
hex28fcc56

42978390 has 144 divisors (see below), whose sum is σ = 130679568. Its totient is φ = 9015552.

The previous prime is 42978317. The next prime is 42978391. The reversal of 42978390 is 9387924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42978391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248344 + ... + 248516.

It is an arithmetic number, because the mean of its divisors is an integer number (907497).

Almost surely, 242978390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42978390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65339784).

42978390 is an abundant number, since it is smaller than the sum of its proper divisors (87701178).

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

42978390 is a wasteful number, since it uses less digits than its factorization.

42978390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 42978390 is about 6555.7905701753. The cubic root of 42978390 is about 350.2811074974.

The spelling of 42978390 in words is "forty-two million, nine hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 173 182 195 210 245 273 294 338 346 390 455 490 507 519 546 637 735 845 865 910 1014 1038 1183 1211 1274 1365 1470 1690 1730 1911 2249 2366 2422 2535 2595 2730 3185 3549 3633 3822 4498 5070 5190 5915 6055 6370 6747 7098 7266 8281 8477 9555 11245 11830 12110 13494 15743 16562 16954 17745 18165 19110 22490 24843 25431 29237 31486 33735 35490 36330 41405 42385 47229 49686 50862 58474 67470 78715 82810 84770 87711 94458 110201 124215 127155 146185 157430 175422 204659 220402 236145 248430 254310 292370 330603 409318 438555 472290 551005 613977 661206 877110 1023295 1102010 1227954 1432613 1653015 2046590 2865226 3069885 3306030 4297839 6139770 7163065 8595678 14326130 21489195 42978390