| Base | Representation |
|---|---|
| bin | 1011001100110… |
| … | …1101110100000 |
| 3 | 10021101211110000 |
| 4 | 2303031232200 |
| 5 | 44011330000 |
| 6 | 4354540000 |
| 7 | 1110215634 |
| oct | 263155640 |
| 9 | 107354400 |
| 10 | 46980000 |
| 11 | 24578851 |
| 12 | 13897600 |
| 13 | 996b922 |
| 14 | 634cdc4 |
| 15 | 41d0000 |
| hex | 2ccdba0 |
46980000 has 300 divisors, whose sum is σ = 178606890. Its totient is φ = 12096000.
The previous prime is 46979927. The next prime is 46980001. The reversal of 46980000 is 8964.
46980000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 685584 + 46294416 = 828^2 + 6804^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (46980001) by changing a digit.
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 49 ways as a sum of consecutive naturals, for example, 1619986 + ... + 1620014.
Almost surely, 246980000 is an apocalyptic number.
46980000 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 46980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303445).
46980000 is an abundant number, since it is smaller than the sum of its proper divisors (131626890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46980000 is an equidigital number, since it uses as much as digits as its factorization.
46980000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 46980000 is about 6854.1957952775. The cubic root of 46980000 is about 360.8314117289.
Adding to 46980000 its reverse (8964), we get a palindrome (46988964).
The spelling of 46980000 in words is "forty-six million, nine hundred eighty thousand".
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