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42163000 = 2353113833
BaseRepresentation
bin1010000011010…
…1101100111000
32221100002202121
42200311230320
541243204000
64103411024
71021244125
oct240655470
987302677
1042163000
1121888760
1212153a74
138973229
14585774c
153a7cb1a
hex2835b38

42163000 has 64 divisors (see below), whose sum is σ = 107658720. Its totient is φ = 15328000.

The previous prime is 42162997. The next prime is 42163019. The reversal of 42163000 is 36124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9084 + ... + 12916.

Almost surely, 242163000 is an apocalyptic number.

42163000 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 42163000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829360).

42163000 is an abundant number, since it is smaller than the sum of its proper divisors (65495720).

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

42163000 is a wasteful number, since it uses less digits than its factorization.

42163000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42163000 is about 6493.3042436036. The cubic root of 42163000 is about 348.0517604781.

Adding to 42163000 its reverse (36124), we get a palindrome (42199124).

The spelling of 42163000 in words is "forty-two million, one hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3833 5500 7666 11000 15332 19165 30664 38330 42163 76660 84326 95825 153320 168652 191650 210815 337304 383300 421630 479125 766600 843260 958250 1054075 1686520 1916500 2108150 3833000 4216300 5270375 8432600 10540750 21081500 42163000