Search a number
-
+
40430808 = 23321171719
BaseRepresentation
bin1001101000111…
…0110011011000
32211002002122100
42122032303120
540322241213
64002323400
71000441035
oct232166330
984062570
1040430808
11209052a0
1211659560
1384b7972
14552638c
153839773
hex268ecd8

40430808 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 12062400.

The previous prime is 40430807. The next prime is 40430809. The reversal of 40430808 is 80803404.

40430808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40430807) and next prime (40430809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430801) 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 23 ways as a sum of consecutive naturals, for example, 55873 + ... + 56591.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 240430808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

40430808 is an abundant number, since it is smaller than the sum of its proper divisors (80874792).

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

40430808 is a wasteful number, since it uses less digits than its factorization.

40430808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40430808 is about 6358.5224698824. The cubic root of 40430808 is about 343.2185932190.

The spelling of 40430808 in words is "forty million, four hundred thirty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 719 781 792 852 1278 1438 1562 1704 2157 2343 2556 2876 3124 4314 4686 5112 5752 6248 6471 7029 7909 8628 9372 12942 14058 15818 17256 18744 23727 25884 28116 31636 47454 51049 51768 56232 63272 71181 94908 102098 142362 153147 189816 204196 284724 306294 408392 459441 561539 569448 612588 918882 1123078 1225176 1684617 1837764 2246156 3369234 3675528 4492312 5053851 6738468 10107702 13476936 20215404 40430808