Base | Representation |
---|---|
bin | 1001110000110… |
… | …0111110110000 |
3 | 2212001100120222 |
4 | 2130030332300 |
5 | 40440311012 |
6 | 4021352212 |
7 | 1005022565 |
oct | 234147660 |
9 | 85040528 |
10 | 40947632 |
11 | 21128620 |
12 | 11868668 |
13 | 8638c8b |
14 | 561c86c |
15 | 38dc972 |
hex | 270cfb0 |
40947632 has 40 divisors (see below), whose sum is σ = 87061392. Its totient is φ = 18502400.
The previous prime is 40947619. The next prime is 40947637. The reversal of 40947632 is 23674904.
40947632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 40947592 and 40947601.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40947637) 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, 34082 + ... + 35262.
Almost surely, 240947632 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 40947632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43530696).
40947632 is an abundant number, since it is smaller than the sum of its proper divisors (46113760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40947632 is a wasteful number, since it uses less digits than its factorization.
40947632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 35.
The square root of 40947632 is about 6399.0336770484. The cubic root of 40947632 is about 344.6748515371.
The spelling of 40947632 in words is "forty million, nine hundred forty-seven thousand, six hundred thirty-two".
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