Base | Representation |
---|---|
bin | 10111111100010… |
… | …101001000100000 |
3 | 1000222212000200200 |
4 | 113330111020200 |
5 | 1310313104133 |
6 | 103505345200 |
7 | 12645214164 |
oct | 2774251040 |
9 | 1028760620 |
10 | 401691168 |
11 | 19682057a |
12 | b2638200 |
13 | 652b42a8 |
14 | 3b4c4ca4 |
15 | 253e9913 |
hex | 17f15220 |
401691168 has 54 divisors (see below), whose sum is σ = 1143277317. Its totient is φ = 133783680.
The previous prime is 401691137. The next prime is 401691193. The reversal of 401691168 is 861196104.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
401691168 is a `hidden beast` number, since 401 + 6 + 91 + 168 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 311593104 + 90098064 = 17652^2 + 9492^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=14172.
It is a super-2 number, since 2×4016911682 = 322711588898408448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 339538 + ... + 340718.
Almost surely, 2401691168 is an apocalyptic number.
401691168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
401691168 is an abundant number, since it is smaller than the sum of its proper divisors (741586149).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401691168 is an equidigital number, since it uses as much as digits as its factorization.
401691168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2378 (or 1186 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 401691168 is about 20042.2346059515. The cubic root of 401691168 is about 737.8432257816.
Multiplying 401691168 by its product of nonzero digits (10368), we get a square (4164734029824 = 20407682).
The spelling of 401691168 in words is "four hundred one million, six hundred ninety-one thousand, one hundred sixty-eight".
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