Base | Representation |
---|---|
bin | 1001101000110… |
… | …1001001000000 |
3 | 2211001202022012 |
4 | 2122031021000 |
5 | 40322032000 |
6 | 4002232052 |
7 | 1000412141 |
oct | 232151100 |
9 | 84052265 |
10 | 40424000 |
11 | 20900171 |
12 | 11655628 |
13 | 84b4836 |
14 | 5523ac8 |
15 | 3837735 |
hex | 268d240 |
40424000 has 112 divisors (see below), whose sum is σ = 103973376. Its totient is φ = 15552000.
The previous prime is 40423993. The next prime is 40424009. The reversal of 40424000 is 42404.
It is not an unprimeable number, because it can be changed into a prime (40424009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247919 + ... + 248081.
Almost surely, 240424000 is an apocalyptic number.
40424000 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 40424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51986688).
40424000 is an abundant number, since it is smaller than the sum of its proper divisors (63549376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40424000 is a wasteful number, since it uses less digits than its factorization.
40424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 14.
The square root of 40424000 is about 6357.9871028495. The cubic root of 40424000 is about 343.1993276847.
Adding to 40424000 its reverse (42404), we get a palindrome (40466404).
The spelling of 40424000 in words is "forty million, four hundred twenty-four thousand".
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