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42327300 = 22352199709
BaseRepresentation
bin1010000101110…
…1110100000100
32221122110010210
42201131310010
541313433200
64111115420
71022530131
oct241356404
987573123
1042327300
1121990144
1212212b70
1389ccc52
14589b588
153ab1650
hex285dd04

42327300 has 72 divisors (see below), whose sum is σ = 123256000. Its totient is φ = 11214720.

The previous prime is 42327283. The next prime is 42327301. The reversal of 42327300 is 372324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42327301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59346 + ... + 60054.

Almost surely, 242327300 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 42327300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61628000).

42327300 is an abundant number, since it is smaller than the sum of its proper divisors (80928700).

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

42327300 is a wasteful number, since it uses less digits than its factorization.

42327300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 42327300 is about 6505.9434365817. The cubic root of 42327300 is about 348.5032684006.

Adding to 42327300 its reverse (372324), we get a palindrome (42699624).

The spelling of 42327300 in words is "forty-two million, three hundred twenty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 709 796 995 1194 1418 1990 2127 2388 2836 2985 3545 3980 4254 4975 5970 7090 8508 9950 10635 11940 14180 14925 17725 19900 21270 29850 35450 42540 53175 59700 70900 106350 141091 212700 282182 423273 564364 705455 846546 1410910 1693092 2116365 2821820 3527275 4232730 7054550 8465460 10581825 14109100 21163650 42327300