Base | Representation |
---|---|
bin | 1001100101010… |
… | …0010000000000 |
3 | 2210121220122200 |
4 | 2121110100000 |
5 | 40242102401 |
6 | 3553233200 |
7 | 665421600 |
oct | 231242000 |
9 | 83556580 |
10 | 40190976 |
11 | 20761091 |
12 | 11562800 |
13 | 8432757 |
14 | 54a2c00 |
15 | 37dd686 |
hex | 2654400 |
40190976 has 198 divisors, whose sum is σ = 136514430. Its totient is φ = 11354112.
The previous prime is 40190971. The next prime is 40190989. The reversal of 40190976 is 67909104.
It can be written as a sum of positive squares in only one way, i.e., 28901376 + 11289600 = 5376^2 + 3360^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 40190976.
It is not an unprimeable number, because it can be changed into a prime (40190971) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451540 + ... + 451628.
Almost surely, 240190976 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 40190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68257215).
40190976 is an abundant number, since it is smaller than the sum of its proper divisors (96323454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40190976 is a wasteful number, since it uses less digits than its factorization.
40190976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 40190976 is about 6339.6353207420. The cubic root of 40190976 is about 342.5385993757.
The spelling of 40190976 in words is "forty million, one hundred ninety thousand, nine hundred seventy-six".
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