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42159468 = 223131312063
BaseRepresentation
bin1010000011010…
…0110101101100
32221022220220210
42200310311230
541243100333
64103342420
71021230621
oct240646554
987286823
1042159468
112188603a
1212151a10
138971740
145856348
153a7ba63
hex2834d6c

42159468 has 48 divisors (see below), whose sum is σ = 106799616. Its totient is φ = 12866880.

The previous prime is 42159463. The next prime is 42159497. The reversal of 42159468 is 86495124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42159463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19405 + ... + 21467.

It is an arithmetic number, because the mean of its divisors is an integer number (2224992).

Almost surely, 242159468 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 42159468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53399808).

42159468 is an abundant number, since it is smaller than the sum of its proper divisors (64640148).

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

42159468 is a wasteful number, since it uses less digits than its factorization.

42159468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2212 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 42159468 is about 6493.0322654365. The cubic root of 42159468 is about 348.0420414263.

The spelling of 42159468 in words is "forty-two million, one hundred fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 2063 3406 4126 5109 6189 6812 8252 10218 12378 20436 24756 26819 53638 80457 107276 160914 270253 321828 540506 810759 1081012 1621518 3243036 3513289 7026578 10539867 14053156 21079734 42159468