| Base | Representation |
|---|---|
| bin | 10111111100001… |
| … | …001000010100000 |
| 3 | 1000222202111202000 |
| 4 | 113330021002200 |
| 5 | 1310310013012 |
| 6 | 103504324000 |
| 7 | 12644616600 |
| oct | 2774110240 |
| 9 | 1028674660 |
| 10 | 401641632 |
| 11 | 196797337 |
| 12 | b2613600 |
| 13 | 65297892 |
| 14 | 3b4b0c00 |
| 15 | 253d9ddc |
| hex | 17f090a0 |
401641632 has 288 divisors, whose sum is σ = 1396180800. Its totient is φ = 111960576.
The previous prime is 401641631. The next prime is 401641687. The reversal of 401641632 is 236146104.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×4016416322 = 322632001111246848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 401641596 and 401641605.
It is not an unprimeable number, because it can be changed into a prime (401641631) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243719 + ... + 2243897.
It is an arithmetic number, because the mean of its divisors is an integer number (4847850).
Almost surely, 2401641632 is an apocalyptic number.
401641632 is a gapful number since it is divisible by the number (42) 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 401641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698090400).
401641632 is an abundant number, since it is smaller than the sum of its proper divisors (994539168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401641632 is a wasteful number, since it uses less digits than its factorization.
401641632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 265 (or 244 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 401641632 is about 20040.9987775061. The cubic root of 401641632 is about 737.8128945990.
Adding to 401641632 its reverse (236146104), we get a palindrome (637787736).
The spelling of 401641632 in words is "four hundred one million, six hundred forty-one thousand, six hundred thirty-two".
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