| Base | Representation |
|---|---|
| bin | 10111111011110… |
| … | …110100101000000 |
| 3 | 1000222121200000102 |
| 4 | 113323312211000 |
| 5 | 1310300103031 |
| 6 | 103502541532 |
| 7 | 12644153255 |
| oct | 2773664500 |
| 9 | 1028550012 |
| 10 | 401566016 |
| 11 | 196745545 |
| 12 | b25978a8 |
| 13 | 6526c337 |
| 14 | 3b49142c |
| 15 | 253c27cb |
| hex | 17ef6940 |
401566016 has 84 divisors (see below), whose sum is σ = 863841300. Its totient is φ = 184977408.
The previous prime is 401565991. The next prime is 401566019. The reversal of 401566016 is 610665104.
It can be written as a sum of positive squares in 2 ways, for example, as 299151616 + 102414400 = 17296^2 + 10120^2 .
It is a super-2 number, since 2×4015660162 = 322510530412224512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is a self number, because there is not a number n which added to its sum of digits gives 401566016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401566019) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981620 + ... + 982028.
It is an arithmetic number, because the mean of its divisors is an integer number (10283825).
Almost surely, 2401566016 is an apocalyptic number.
401566016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 401566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431920650).
401566016 is an abundant number, since it is smaller than the sum of its proper divisors (462275284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401566016 is a wasteful number, since it uses less digits than its factorization.
401566016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 496 (or 463 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 29.
The square root of 401566016 is about 20039.1121559814. The cubic root of 401566016 is about 737.7665896703.
The spelling of 401566016 in words is "four hundred one million, five hundred sixty-six thousand, sixteen".
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