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42866280 = 23335192089
BaseRepresentation
bin1010001110000…
…1011001101000
32222122211111000
42203201121220
541433210110
64130435000
71030233402
oct243413150
988584430
1042866280
1122219086
1212432a60
138b5b382
14599bb72
153b6b1c0
hex28e1668

42866280 has 128 divisors (see below), whose sum is σ = 150480000. Its totient is φ = 10824192.

The previous prime is 42866251. The next prime is 42866287. The reversal of 42866280 is 8266824.

42866280 is a `hidden beast` number, since 4 + 28 + 6 + 628 + 0 = 666.

It is a super-2 number, since 2×428662802 = 3675035922076800, which contains 22 as substring.

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 (42866287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19476 + ... + 21564.

It is an arithmetic number, because the mean of its divisors is an integer number (1175625).

Almost surely, 242866280 is an apocalyptic number.

42866280 is a gapful number since it is divisible by the number (40) 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 42866280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75240000).

42866280 is an abundant number, since it is smaller than the sum of its proper divisors (107613720).

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

42866280 is a wasteful number, since it uses less digits than its factorization.

42866280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

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

The square root of 42866280 is about 6547.2345307007. The cubic root of 42866280 is about 349.9762705001.

The spelling of 42866280 in words is "forty-two million, eight hundred sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2089 2280 2565 3420 4104 4178 5130 6267 6840 8356 10260 10445 12534 16712 18801 20520 20890 25068 31335 37602 39691 41780 50136 56403 62670 75204 79382 83560 94005 112806 119073 125340 150408 158764 188010 198455 225612 238146 250680 282015 317528 357219 376020 396910 451224 476292 564030 595365 714438 752040 793820 952584 1071657 1128060 1190730 1428876 1587640 1786095 2143314 2256120 2381460 2857752 3572190 4286628 4762920 5358285 7144380 8573256 10716570 14288760 21433140 42866280