Search a number
-
+
42575100 = 22352141917
BaseRepresentation
bin1010001001101…
…0010011111100
32222010001001120
42202122103330
541344400400
64120310540
71024611441
oct242322374
988101046
1042575100
112203a337
1212312450
138a88989
1459239c8
153b0eca0
hex289a4fc

42575100 has 36 divisors (see below), whose sum is σ = 123184824. Its totient is φ = 11353280.

The previous prime is 42575041. The next prime is 42575107. The reversal of 42575100 is 157524.

42575100 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 (42575107) 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 11 ways as a sum of consecutive naturals, for example, 70659 + ... + 71258.

Almost surely, 242575100 is an apocalyptic number.

It is an amenable number.

42575100 is an abundant number, since it is smaller than the sum of its proper divisors (80609724).

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

42575100 is a wasteful number, since it uses less digits than its factorization.

42575100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141934 (or 141927 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 42575100 is about 6524.9597699909. The cubic root of 42575100 is about 349.1820354503.

The spelling of 42575100 in words is "forty-two million, five hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 141917 283834 425751 567668 709585 851502 1419170 1703004 2128755 2838340 3547925 4257510 7095850 8515020 10643775 14191700 21287550 42575100