Search a number
-
+
42543829000 = 235342543829
BaseRepresentation
bin100111100111110011…
…110101000000001000
311001210221201102212101
4213213303311000020
51144112210012000
631313325523144
73034163402611
oct474763650010
9131727642771
1042543829000
1117051978462
1282b3a134b4
1340200b931a
1420b838ac08
15118eebde6a
hex9e7cf5008

42543829000 has 32 divisors (see below), whose sum is σ = 99552562200. Its totient is φ = 17017531200.

The previous prime is 42543828979. The next prime is 42543829007. The reversal of 42543829000 is 92834524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7536670596 + 35007158404 = 86814^2 + 187102^2 .

It is not an unprimeable number, because it can be changed into a prime (42543829007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21270915 + ... + 21272914.

Almost surely, 242543829000 is an apocalyptic number.

42543829000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42543829000 is an abundant number, since it is smaller than the sum of its proper divisors (57008733200).

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

42543829000 is a wasteful number, since it uses less digits than its factorization.

42543829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42543850 (or 42543836 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 42543829000 in words is "forty-two billion, five hundred forty-three million, eight hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42543829 85087658 170175316 212719145 340350632 425438290 850876580 1063595725 1701753160 2127191450 4254382900 5317978625 8508765800 10635957250 21271914500 42543829000