Base | Representation |
---|---|
bin | 1111010000110010110000 |
3 | 21112021021010 |
4 | 33100302300 |
5 | 2011012234 |
6 | 221430520 |
7 | 46002363 |
oct | 17206260 |
9 | 7467233 |
10 | 4000944 |
11 | 2292a72 |
12 | 140b440 |
13 | aa112c |
14 | 7620da |
15 | 5406e9 |
hex | 3d0cb0 |
4000944 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1221120.
The previous prime is 4000939. The next prime is 4000949. The reversal of 4000944 is 4490004.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (4000939) and next prime (4000949).
It is a super-2 number, since 2×40009442 = 32015105782272, 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 4000944.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4000949) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37339 + ... + 37445.
It is an arithmetic number, because the mean of its divisors is an integer number (140616).
Almost surely, 24000944 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 4000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).
4000944 is an abundant number, since it is smaller than the sum of its proper divisors (7248336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4000944 is a wasteful number, since it uses less digits than its factorization.
4000944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 4000944 is about 2000.2359860776. The cubic root of 4000944 is about 158.7525917695.
Adding to 4000944 its reverse (4490004), we get a palindrome (8490948).
The spelling of 4000944 in words is "four million, nine hundred forty-four", and thus it is an aban number.
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