| Base | Representation |
|---|---|
| bin | 1011001010000… |
| … | …1111111100000 |
| 3 | 10021001201201100 |
| 4 | 2302201333200 |
| 5 | 43440111424 |
| 6 | 4351034400 |
| 7 | 1105541445 |
| oct | 262417740 |
| 9 | 107051640 |
| 10 | 46800864 |
| 11 | 24466200 |
| 12 | 1380ba00 |
| 13 | 9908226 |
| 14 | 63039cc |
| 15 | 4196dc9 |
| hex | 2ca1fe0 |
46800864 has 216 divisors, whose sum is σ = 156854880. Its totient is φ = 13178880.
The previous prime is 46800841. The next prime is 46800869.
46800864 is nontrivially palindromic in base 10.
46800864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×468008642 = 4380641742292992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46800869) 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 35 ways as a sum of consecutive naturals, for example, 592377 + ... + 592455.
It is an arithmetic number, because the mean of its divisors is an integer number (726180).
Almost surely, 246800864 is an apocalyptic number.
46800864 is a gapful number since it is divisible by the number (44) 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 46800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).
46800864 is an abundant number, since it is smaller than the sum of its proper divisors (110054016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46800864 is a wasteful number, since it uses less digits than its factorization.
46800864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 46800864 is about 6841.1156984808. The cubic root of 46800864 is about 360.3722076307.
The spelling of 46800864 in words is "forty-six million, eight hundred thousand, eight hundred sixty-four".
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