Search a number
-
+
40808768 = 267311132
BaseRepresentation
bin1001101110101…
…1000101000000
32211210022002212
42123223011000
540421340033
64014401252
71003604000
oct233530500
984708085
1040808768
1121043260
1211800228
1385baa00
1455c4000
1538b1748
hex26eb140

40808768 has 168 divisors, whose sum is σ = 111556800. Its totient is φ = 14676480.

The previous prime is 40808759. The next prime is 40808819. The reversal of 40808768 is 86780804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139130 + ... + 3139142.

Almost surely, 240808768 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 40808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55778400).

40808768 is an abundant number, since it is smaller than the sum of its proper divisors (70748032).

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

40808768 is a wasteful number, since it uses less digits than its factorization.

40808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 40808768 is about 6388.1740740215. The cubic root of 40808768 is about 344.2847831042.

It can be divided in two parts, 40 and 808768, that added together give a palindrome (808808).

The spelling of 40808768 in words is "forty million, eight hundred eight thousand, seven hundred sixty-eight".