Base | Representation |
---|---|
bin | 1001111000001… |
… | …0100000000000 |
3 | 2212221210220010 |
4 | 2132002200000 |
5 | 41101211432 |
6 | 4035544520 |
7 | 1012066143 |
oct | 236024000 |
9 | 85853803 |
10 | 41428992 |
11 | 21427240 |
12 | 11a5b140 |
13 | 87770c7 |
14 | 570605a |
15 | 39853cc |
hex | 2782800 |
41428992 has 96 divisors (see below), whose sum is σ = 120687840. Its totient is φ = 12533760.
The previous prime is 41428979. The next prime is 41428999. The reversal of 41428992 is 29982414.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×414289922 = 3432722756272128, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 41428992.
It is not an unprimeable number, because it can be changed into a prime (41428999) 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 7 ways as a sum of consecutive naturals, for example, 67278 + ... + 67890.
It is an arithmetic number, because the mean of its divisors is an integer number (1257165).
Almost surely, 241428992 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 41428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60343920).
41428992 is an abundant number, since it is smaller than the sum of its proper divisors (79258848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41428992 is a wasteful number, since it uses less digits than its factorization.
41428992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 649 (or 629 counting only the distinct ones).
The product of its digits is 41472, while the sum is 39.
The square root of 41428992 is about 6436.5357141866. The cubic root of 41428992 is about 346.0202021906.
The spelling of 41428992 in words is "forty-one million, four hundred twenty-eight thousand, nine hundred ninety-two".
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