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42878430 = 233573463
BaseRepresentation
bin1010001110010…
…0010111011110
32222200110011000
42203210113132
541434102210
64131011130
71030314000
oct243442736
988613130
1042878430
1122227221
1212439aa6
138b63a6a
1459a2370
153b6eac0
hex28e45de

42878430 has 128 divisors (see below), whose sum is σ = 133632000. Its totient is φ = 9779616.

The previous prime is 42878401. The next prime is 42878441. The reversal of 42878430 is 3487824.

42878430 is a nontrivial binomial coefficient, being equal to C(9261, 2).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92379 + ... + 92841.

It is an arithmetic number, because the mean of its divisors is an integer number (1044000).

Almost surely, 242878430 is an apocalyptic number.

42878430 is the 9260-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42878430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66816000).

42878430 is an abundant number, since it is smaller than the sum of its proper divisors (90753570).

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

42878430 is a wasteful number, since it uses less digits than its factorization.

42878430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42878430 is about 6548.1623376334. The cubic root of 42878430 is about 350.0093330845.

The spelling of 42878430 in words is "forty-two million, eight hundred seventy-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 463 490 630 686 735 882 926 945 1029 1323 1389 1470 1715 1890 2058 2205 2315 2646 2778 3087 3241 3430 4167 4410 4630 5145 6174 6482 6615 6945 8334 9261 9723 10290 12501 13230 13890 15435 16205 18522 19446 20835 22687 25002 29169 30870 32410 41670 45374 46305 48615 58338 62505 68061 87507 92610 97230 113435 125010 136122 145845 158809 175014 204183 226870 291690 317618 340305 408366 437535 476427 612549 680610 794045 875070 952854 1020915 1225098 1429281 1588090 2041830 2382135 2858562 3062745 4287843 4764270 6125490 7146405 8575686 14292810 21439215 42878430