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42421100 = 22521912221
BaseRepresentation
bin1010000111010…
…0101101101100
32221211012210212
42201310231230
541324433400
64113121552
71023400451
oct241645554
987735725
1042421100
1121a44667
12122592b8
138a33857
1458c3828
153ace335
hex2874b6c

42421100 has 36 divisors (see below), whose sum is σ = 92577408. Its totient is φ = 16872000.

The previous prime is 42421087. The next prime is 42421121. The reversal of 42421100 is 112424.

42421100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17990 + ... + 20210.

Almost surely, 242421100 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 42421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46288704).

42421100 is an abundant number, since it is smaller than the sum of its proper divisors (50156308).

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

42421100 is a wasteful number, since it uses less digits than its factorization.

42421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42421100 is about 6513.1482402906. The cubic root of 42421100 is about 348.7605136367.

Adding to 42421100 its reverse (112424), we get a palindrome (42533524).

The spelling of 42421100 in words is "forty-two million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 2221 3820 4442 4775 8884 9550 11105 19100 22210 44420 55525 111050 222100 424211 848422 1696844 2121055 4242110 8484220 10605275 21210550 42421100