| Base | Representation |
|---|---|
| bin | 10111111011101… |
| … | …001101011100000 |
| 3 | 1000222111222112200 |
| 4 | 113323221223200 |
| 5 | 1310241410214 |
| 6 | 103501453200 |
| 7 | 12643543242 |
| oct | 2773515340 |
| 9 | 1028458480 |
| 10 | 401513184 |
| 11 | 196709886 |
| 12 | b2571200 |
| 13 | 65251287 |
| 14 | 3b47a092 |
| 15 | 253b1d09 |
| hex | 17ee9ae0 |
401513184 has 72 divisors (see below), whose sum is σ = 1144215072. Its totient is φ = 133555200.
The previous prime is 401513183. The next prime is 401513197. The reversal of 401513184 is 481315104.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×4015131842 = 322425673851635712, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401513183) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169609 + ... + 171959.
It is an arithmetic number, because the mean of its divisors is an integer number (15891876).
Almost surely, 2401513184 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 401513184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572107536).
401513184 is an abundant number, since it is smaller than the sum of its proper divisors (742701888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401513184 is a wasteful number, since it uses less digits than its factorization.
401513184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2960 (or 2949 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 401513184 is about 20037.7938905459. The cubic root of 401513184 is about 737.7342335176.
Adding to 401513184 its product of nonzero digits (1920), we get a palindrome (401515104).
Adding to 401513184 its reverse (481315104), we get a palindrome (882828288).
The spelling of 401513184 in words is "four hundred one million, five hundred thirteen thousand, one hundred eighty-four".
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