Base | Representation |
---|---|
bin | 100000000100… |
… | …000000000000 |
3 | 120211000111000 |
4 | 200010000000 |
5 | 4122424432 |
6 | 500052000 |
7 | 131304231 |
oct | 40040000 |
9 | 16730430 |
10 | 8404992 |
11 | 4820882 |
12 | 2994000 |
13 | 198388b |
14 | 118b088 |
15 | b1057c |
hex | 804000 |
8404992 has 120 divisors (see below), whose sum is σ = 26213600. Its totient is φ = 2654208.
The previous prime is 8404969. The next prime is 8404993. The reversal of 8404992 is 2994048.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (8404993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442359 + ... + 442377.
Almost surely, 28404992 is an apocalyptic number.
8404992 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106800).
8404992 is an abundant number, since it is smaller than the sum of its proper divisors (17808608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8404992 is an equidigital number, since it uses as much as digits as its factorization.
8404992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 56 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 8404992 is about 2899.1364231440. The cubic root of 8404992 is about 203.3195320442.
It can be divided in two parts, 840 and 4992, that added together give a cube (5832 = 183).
The spelling of 8404992 in words is "eight million, four hundred four thousand, nine hundred ninety-two".
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