| Base | Representation |
|---|---|
| bin | 1010111101101… |
| … | …0100100000000 |
| 3 | 10012112020012010 |
| 4 | 2233122210000 |
| 5 | 43232442000 |
| 6 | 4321332520 |
| 7 | 1065600066 |
| oct | 257324400 |
| 9 | 105466163 |
| 10 | 45984000 |
| 11 | 23a58507 |
| 12 | 13497140 |
| 13 | 96b048a |
| 14 | 6170036 |
| 15 | 4084d50 |
| hex | 2bda900 |
45984000 has 144 divisors (see below), whose sum is σ = 153054720. Its totient is φ = 12236800.
The previous prime is 45983989. The next prime is 45984011. The reversal of 45984000 is 48954.
It is an interprime number because it is at equal distance from previous prime (45983989) and next prime (45984011).
It is a super-2 number, since 2×459840002 = 4229056512000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95761 + ... + 96239.
It is an arithmetic number, because the mean of its divisors is an integer number (1062880).
Almost surely, 245984000 is an apocalyptic number.
45984000 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 45984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527360).
45984000 is an abundant number, since it is smaller than the sum of its proper divisors (107070720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45984000 is an equidigital number, since it uses as much as digits as its factorization.
45984000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 513 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 30.
The square root of 45984000 is about 6781.1503448899. The cubic root of 45984000 is about 358.2632397001.
The spelling of 45984000 in words is "forty-five million, nine hundred eighty-four thousand".
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