Search a number
-
+
40363300 = 22523710909
BaseRepresentation
bin1001100111111…
…0010100100100
32210221200001001
42121332110210
540313111200
64001043044
71000040155
oct231762444
983850031
1040363300
11208695aa
1211626484
138493013
14550992c
15382476a
hex267e524

40363300 has 36 divisors (see below), whose sum is σ = 89963860. Its totient is φ = 15707520.

The previous prime is 40363291. The next prime is 40363307. The reversal of 40363300 is 336304.

It is a happy number.

40363300 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 6 ways, for example, as 116964 + 40246336 = 342^2 + 6344^2 .

It is not an unprimeable number, because it can be changed into a prime (40363307) 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, 1755 + ... + 9154.

Almost surely, 240363300 is an apocalyptic number.

It is an amenable number.

40363300 is an abundant number, since it is smaller than the sum of its proper divisors (49600560).

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

40363300 is a wasteful number, since it uses less digits than its factorization.

40363300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 40363300 is about 6353.2117861756. The cubic root of 40363300 is about 343.0274608483.

Adding to 40363300 its reverse (336304), we get a palindrome (40699604).

The spelling of 40363300 in words is "forty million, three hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 10909 21818 43636 54545 109090 218180 272725 403633 545450 807266 1090900 1614532 2018165 4036330 8072660 10090825 20181650 40363300