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42441200 = 2452106103
BaseRepresentation
bin1010000111100…
…1100111110000
32221212020101022
42201321213300
541331104300
64113355012
71023513164
oct241714760
987766338
1042441200
1121a5877a
1212268a68
138a3ca49
1458caca4
153ad5285
hex28799f0

42441200 has 30 divisors (see below), whose sum is σ = 101965944. Its totient is φ = 16976320.

The previous prime is 42441199. The next prime is 42441209. The reversal of 42441200 is 214424.

42441200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42441209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52652 + ... + 53451.

Almost surely, 242441200 is an apocalyptic number.

42441200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42441200 is an abundant number, since it is smaller than the sum of its proper divisors (59524744).

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

42441200 is a wasteful number, since it uses less digits than its factorization.

42441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106121 (or 106110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42441200 is about 6514.6910901439. The cubic root of 42441200 is about 348.8155882689.

Adding to 42441200 its reverse (214424), we get a palindrome (42655624).

The spelling of 42441200 in words is "forty-two million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 106103 212206 424412 530515 848824 1061030 1697648 2122060 2652575 4244120 5305150 8488240 10610300 21220600 42441200