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42866820 = 2234547563
BaseRepresentation
bin1010001110000…
…1100010000100
32222122212020000
42203201202010
541433214240
64130441300
71030235103
oct243414204
988585200
1042866820
1122219527
1212433230
138b5b6a9
14599c03a
153b6b430
hex28e1884

42866820 has 120 divisors (see below), whose sum is σ = 137579904. Its totient is φ = 11168064.

The previous prime is 42866819. The next prime is 42866827. The reversal of 42866820 is 2866824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42866827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75859 + ... + 76421.

Almost surely, 242866820 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 42866820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68789952).

42866820 is an abundant number, since it is smaller than the sum of its proper divisors (94713084).

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

42866820 is a wasteful number, since it uses less digits than its factorization.

42866820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42866820 is about 6547.2757693563. The cubic root of 42866820 is about 349.9777400809.

The spelling of 42866820 in words is "forty-two million, eight hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 563 564 705 810 846 940 1126 1269 1410 1620 1689 1692 2115 2252 2538 2815 2820 3378 3807 4230 5067 5076 5630 6345 6756 7614 8445 8460 10134 11260 12690 15201 15228 16890 19035 20268 25335 25380 26461 30402 33780 38070 45603 50670 52922 60804 76005 76140 79383 91206 101340 105844 132305 152010 158766 182412 228015 238149 264610 304020 317532 396915 456030 476298 529220 714447 793830 912060 952596 1190745 1428894 1587660 2143341 2381490 2857788 3572235 4286682 4762980 7144470 8573364 10716705 14288940 21433410 42866820