| Base | Representation |
|---|---|
| bin | 1011000011111… |
| … | …1101100100000 |
| 3 | 10020022021102100 |
| 4 | 2300333230200 |
| 5 | 43334220430 |
| 6 | 4334250400 |
| 7 | 1102243560 |
| oct | 260775440 |
| 9 | 106267370 |
| 10 | 46398240 |
| 11 | 24210759 |
| 12 | 13656a00 |
| 13 | 97c6ba5 |
| 14 | 623ada0 |
| 15 | 4117960 |
| hex | 2c3fb20 |
46398240 has 144 divisors (see below), whose sum is σ = 180992448. Its totient is φ = 10603008.
The previous prime is 46398221. The next prime is 46398251. The reversal of 46398240 is 4289364.
It is a happy number.
46398240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 46398195 and 46398204.
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 23 ways as a sum of consecutive naturals, for example, 7779 + ... + 12381.
It is an arithmetic number, because the mean of its divisors is an integer number (1256892).
Almost surely, 246398240 is an apocalyptic number.
46398240 is a gapful number since it is divisible by the number (40) 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 46398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90496224).
46398240 is an abundant number, since it is smaller than the sum of its proper divisors (134594208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46398240 is a wasteful number, since it uses less digits than its factorization.
46398240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4631 (or 4620 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 46398240 is about 6811.6253566972. The cubic root of 46398240 is about 359.3358123874.
The spelling of 46398240 in words is "forty-six million, three hundred ninety-eight thousand, two hundred forty".
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