Search a number
-
+
40106192 = 247433827
BaseRepresentation
bin1001100011111…
…1100011010000
32210110121100112
42120333203100
540231344232
63551340452
7664616450
oct230774320
983417315
1040106192
1120703415
1211521728
138402c99
14547dd60
1537c34b2
hex263f8d0

40106192 has 40 divisors (see below), whose sum is σ = 89119296. Its totient is φ = 17127936.

The previous prime is 40106189. The next prime is 40106197. The reversal of 40106192 is 29160104.

It is a happy number.

40106192 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 (40106197) 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 7 ways as a sum of consecutive naturals, for example, 48083 + ... + 48909.

Almost surely, 240106192 is an apocalyptic number.

It is an amenable number.

40106192 is an abundant number, since it is smaller than the sum of its proper divisors (49013104).

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

40106192 is a wasteful number, since it uses less digits than its factorization.

40106192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 40106192 is about 6332.9449705489. The cubic root of 40106192 is about 342.2975648537.

Adding to 40106192 its reverse (29160104), we get a palindrome (69266296).

The spelling of 40106192 in words is "forty million, one hundred six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 433 827 866 1654 1732 3031 3308 3464 5789 6062 6616 6928 11578 12124 13232 23156 24248 46312 48496 92624 358091 716182 1432364 2506637 2864728 5013274 5729456 10026548 20053096 40106192