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42240200 = 23521271663
BaseRepresentation
bin1010000100100…
…0100011001000
32221111000122212
42201020203020
541303141300
64105204252
71022015162
oct241104310
987430585
1042240200
1121930762
1212190688
13899c402
145877932
153a95935
hex28488c8

42240200 has 48 divisors (see below), whose sum is σ = 99041280. Its totient is φ = 16752960.

The previous prime is 42240181. The next prime is 42240221. The reversal of 42240200 is 204224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24569 + ... + 26231.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 242240200 is an apocalyptic number.

42240200 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 42240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49520640).

42240200 is an abundant number, since it is smaller than the sum of its proper divisors (56801080).

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

42240200 is a wasteful number, since it uses less digits than its factorization.

42240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42240200 is about 6499.2461101269. The cubic root of 42240200 is about 348.2640573044.

Adding to 42240200 its reverse (204224), we get a palindrome (42444424).

The spelling of 42240200 in words is "forty-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 1663 2540 3175 3326 5080 6350 6652 8315 12700 13304 16630 25400 33260 41575 66520 83150 166300 211201 332600 422402 844804 1056005 1689608 2112010 4224020 5280025 8448040 10560050 21120100 42240200