Search a number
-
+
40204900 = 2252402049
BaseRepresentation
bin1001100101011…
…1101001100100
32210122121202101
42121113221210
540243024100
63553421444
7665510311
oct231275144
983577671
1040204900
112077059a
121156a884
138438ba8
1454a7d08
1537e286a
hex2657a64

40204900 has 18 divisors (see below), whose sum is σ = 87244850. Its totient is φ = 16081920.

The previous prime is 40204889. The next prime is 40204907. The reversal of 40204900 is 940204.

40204900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 40018276 = 432^2 + 6326^2 .

It is not an unprimeable number, because it can be changed into a prime (40204907) 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, 200925 + ... + 201124.

Almost surely, 240204900 is an apocalyptic number.

It is an amenable number.

40204900 is an abundant number, since it is smaller than the sum of its proper divisors (47039950).

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

40204900 is a wasteful number, since it uses less digits than its factorization.

40204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402063 (or 402056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40204900 is about 6340.7333960671. The cubic root of 40204900 is about 342.5781518429.

The spelling of 40204900 in words is "forty million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 402049 804098 1608196 2010245 4020490 8040980 10051225 20102450 40204900