Base | Representation |
---|---|
bin | 1001110111111… |
… | …1010000010000 |
3 | 2212221010122200 |
4 | 2131333100100 |
5 | 41100300241 |
6 | 4035403200 |
7 | 1012012320 |
oct | 235772020 |
9 | 85833580 |
10 | 41415696 |
11 | 21418253 |
12 | 11a53500 |
13 | 877103a |
14 | 5701280 |
15 | 39814b6 |
hex | 277f410 |
41415696 has 120 divisors (see below), whose sum is σ = 133783104. Its totient is φ = 11715840.
The previous prime is 41415679. The next prime is 41415697. The reversal of 41415696 is 69651414.
41415696 is a `hidden beast` number, since 414 + 156 + 96 = 666.
41415696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 41415696.
It is not an unprimeable number, because it can be changed into a prime (41415697) 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, 182335 + ... + 182561.
Almost surely, 241415696 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 41415696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66891552).
41415696 is an abundant number, since it is smaller than the sum of its proper divisors (92367408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41415696 is a wasteful number, since it uses less digits than its factorization.
41415696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 429 (or 420 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The square root of 41415696 is about 6435.5027775614. The cubic root of 41415696 is about 345.9831816031.
It can be divided in two parts, 414 and 15696, that added together give a triangular number (16110 = T179).
The spelling of 41415696 in words is "forty-one million, four hundred fifteen thousand, six hundred ninety-six".
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