Search a number
-
+
40304200 = 2352296949
BaseRepresentation
bin1001100110111…
…1111001001000
32210211122222011
42121233321020
540304213300
63555505304
7666402646
oct231577110
983748864
1040304200
1120829162
12115b8234
138472151
1454d2196
153811eba
hex266fe48

40304200 has 48 divisors (see below), whose sum is σ = 96952500. Its totient is φ = 15563520.

The previous prime is 40304197. The next prime is 40304213. The reversal of 40304200 is 240304.

It can be written as a sum of positive squares in 6 ways, for example, as 23444964 + 16859236 = 4842^2 + 4106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2326 + ... + 9274.

Almost surely, 240304200 is an apocalyptic number.

40304200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48476250).

40304200 is an abundant number, since it is smaller than the sum of its proper divisors (56648300).

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

40304200 is a wasteful number, since it uses less digits than its factorization.

40304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 40304200 is about 6348.5588915911. The cubic root of 40304200 is about 342.8599586409.

Adding to 40304200 its reverse (240304), we get a palindrome (40544504).

It can be divided in two parts, 40304 and 200, that added together give a palindrome (40504).

The spelling of 40304200 in words is "forty million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 6949 13898 27796 34745 55592 69490 138980 173725 201521 277960 347450 403042 694900 806084 1007605 1389800 1612168 2015210 4030420 5038025 8060840 10076050 20152100 40304200