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42159852 = 2234729641
BaseRepresentation
bin1010000011010…
…0111011101100
32221022221110000
42200310323230
541243103402
64103344300
71021232010
oct240647354
987287400
1042159852
1121886359
1212152090
138971977
145856540
153a7bc1c
hex2834eec

42159852 has 120 divisors (see below), whose sum is σ = 130505760. Its totient is φ = 11612160.

The previous prime is 42159827. The next prime is 42159853. The reversal of 42159852 is 25895124.

42159852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42159853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65452 + ... + 66092.

It is an arithmetic number, because the mean of its divisors is an integer number (1087548).

Almost surely, 242159852 is an apocalyptic number.

42159852 is a gapful number since it is divisible by the number (42) 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 42159852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252880).

42159852 is an abundant number, since it is smaller than the sum of its proper divisors (88345908).

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

42159852 is a wasteful number, since it uses less digits than its factorization.

42159852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42159852 is about 6493.0618355288. The cubic root of 42159852 is about 348.0430981106.

The spelling of 42159852 in words is "forty-two million, one hundred fifty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 641 756 783 812 1044 1134 1218 1282 1566 1827 1923 2268 2349 2436 2564 3132 3654 3846 4487 4698 5481 5769 7308 7692 8974 9396 10962 11538 13461 16443 17307 17948 18589 21924 23076 26922 32886 34614 37178 40383 51921 53844 55767 65772 69228 74356 80766 103842 111534 121149 130123 161532 167301 207684 223068 242298 260246 334602 363447 390369 484596 501903 520492 669204 726894 780738 1003806 1171107 1453788 1505709 1561476 2007612 2342214 3011418 3513321 4684428 6022836 7026642 10539963 14053284 21079926 42159852