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42855660 = 22325415807
BaseRepresentation
bin1010001101111…
…0110011101100
32222122021220200
42203132303230
541432340120
64130313500
71030160421
oct243366354
988567820
1042855660
1122211101
1212428890
138b565a3
145997d48
153b67e90
hex28decec

42855660 has 72 divisors (see below), whose sum is σ = 133189056. Its totient is φ = 11147520.

The previous prime is 42855581. The next prime is 42855661. The reversal of 42855660 is 6655824.

42855660 is a `hidden beast` number, since 42 + 8 + 556 + 60 = 666.

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 (42855661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4477 + ... + 10283.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 242855660 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 42855660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66594528).

42855660 is an abundant number, since it is smaller than the sum of its proper divisors (90333396).

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

42855660 is a wasteful number, since it uses less digits than its factorization.

42855660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42855660 is about 6546.4234510151. The cubic root of 42855660 is about 349.9473662349.

The spelling of 42855660 in words is "forty-two million, eight hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 5807 7380 11614 17421 23228 29035 34842 52263 58070 69684 87105 104526 116140 174210 209052 238087 261315 348420 476174 522630 714261 952348 1045260 1190435 1428522 2142783 2380870 2857044 3571305 4285566 4761740 7142610 8571132 10713915 14285220 21427830 42855660