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42163800 = 23352710039
BaseRepresentation
bin1010000011010…
…1111001011000
32221100010212020
42200311321120
541243220200
64103414440
71021246350
oct240657130
987303766
1042163800
1121889318
1212154420
1389736c3
145857b60
153a7cea0
hex2835e58

42163800 has 96 divisors (see below), whose sum is σ = 149395200. Its totient is φ = 9636480.

The previous prime is 42163799. The next prime is 42163811. The reversal of 42163800 is 836124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (1556200).

Almost surely, 242163800 is an apocalyptic number.

42163800 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 42163800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74697600).

42163800 is an abundant number, since it is smaller than the sum of its proper divisors (107231400).

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

42163800 is a wasteful number, since it uses less digits than its factorization.

42163800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42163800 is about 6493.3658452300. The cubic root of 42163800 is about 348.0539617735.

Adding to 42163800 its reverse (836124), we get a palindrome (42999924).

The spelling of 42163800 in words is "forty-two million, one hundred sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 10039 20078 30117 40156 50195 60234 70273 80312 100390 120468 140546 150585 200780 210819 240936 250975 281092 301170 351365 401560 421638 501950 562184 602340 702730 752925 843276 1003900 1054095 1204680 1405460 1505850 1686552 1756825 2007800 2108190 2810920 3011700 3513650 4216380 5270475 6023400 7027300 8432760 10540950 14054600 21081900 42163800