Base | Representation |
---|---|
bin | 1100100110101000000 |
3 | 202222112000 |
4 | 1210311000 |
5 | 101203432 |
6 | 12504000 |
7 | 3340026 |
oct | 1446500 |
9 | 688460 |
10 | 412992 |
11 | 262318 |
12 | 17b000 |
13 | 115c98 |
14 | aa716 |
15 | 8257c |
hex | 64d40 |
412992 has 56 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 137088.
The previous prime is 412987. The next prime is 413009. The reversal of 412992 is 299214.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
412992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 1847.
2412992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).
412992 is an abundant number, since it is smaller than the sum of its proper divisors (806208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412992 is a wasteful number, since it uses less digits than its factorization.
412992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 260 (or 244 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
The square root of 412992 is about 642.6445362718. The cubic root of 412992 is about 74.4698615387.
It can be divided in two parts, 4 and 12992, that added together give a square (12996 = 1142).
The spelling of 412992 in words is "four hundred twelve thousand, nine hundred ninety-two".
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