Search a number
-
+
40659696 = 243271119193
BaseRepresentation
bin1001101100011…
…0101011110000
32211111201121200
42123012223300
540402102241
64011251200
71002413250
oct233065360
984451550
1040659696
1120a51260
1211749b00
138567bbc
145585960
1538824b6
hex26c6af0

40659696 has 240 divisors, whose sum is σ = 150109440. Its totient is φ = 9953280.

The previous prime is 40659629. The next prime is 40659719. The reversal of 40659696 is 69695604.

40659696 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 210576 + ... + 210768.

It is an arithmetic number, because the mean of its divisors is an integer number (625456).

Almost surely, 240659696 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 40659696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054720).

40659696 is an abundant number, since it is smaller than the sum of its proper divisors (109449744).

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

40659696 is a wasteful number, since it uses less digits than its factorization.

40659696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 40659696 is about 6376.4955892716. The cubic root of 40659696 is about 343.8650543351.

The spelling of 40659696 in words is "forty million, six hundred fifty-nine thousand, six hundred ninety-six".