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42879820 = 2252331297
BaseRepresentation
bin1010001110010…
…0101101001100
32222200112001111
42203210231030
541434123240
64131021404
71030321024
oct243445514
988615044
1042879820
1122228275
121243a864
138b64599
1459a2a84
153b701ea
hex28e4b4c

42879820 has 72 divisors (see below), whose sum is σ = 98092512. Its totient is φ = 15713280.

The previous prime is 42879817. The next prime is 42879829. The reversal of 42879820 is 2897824.

It is not an unprimeable number, because it can be changed into a prime (42879829) 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, 442012 + ... + 442108.

It is an arithmetic number, because the mean of its divisors is an integer number (1362396).

Almost surely, 242879820 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 42879820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49046256).

42879820 is an abundant number, since it is smaller than the sum of its proper divisors (55212692).

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

42879820 is a wasteful number, since it uses less digits than its factorization.

42879820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 42879820 is about 6548.2684734210. The cubic root of 42879820 is about 350.0131151548.

The spelling of 42879820 in words is "forty-two million, eight hundred seventy-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 97 115 124 155 194 230 310 388 460 485 620 713 961 970 1426 1922 1940 2231 2852 3007 3565 3844 4462 4805 6014 7130 8924 9610 11155 12028 14260 15035 19220 22103 22310 30070 44206 44620 60140 69161 88412 93217 110515 138322 186434 221030 276644 345805 372868 442060 466085 691610 932170 1383220 1864340 2143991 4287982 8575964 10719955 21439910 42879820