Base | Representation |
---|---|
bin | 1001101001000… |
… | …1100101101100 |
3 | 2211002200022000 |
4 | 2122101211230 |
5 | 40323122340 |
6 | 4002452300 |
7 | 1000516230 |
oct | 232214554 |
9 | 84080260 |
10 | 40442220 |
11 | 20912925 |
12 | 11664090 |
13 | 84bcc10 |
14 | 552a5c0 |
15 | 383cd30 |
hex | 269196c |
40442220 has 192 divisors, whose sum is σ = 155043840. Its totient is φ = 8522496.
The previous prime is 40442209. The next prime is 40442243. The reversal of 40442220 is 2224404.
40442220 is a `hidden beast` number, since 4 + 0 + 442 + 220 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 40442193 and 40442202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48729 + ... + 49551.
It is an arithmetic number, because the mean of its divisors is an integer number (807520).
Almost surely, 240442220 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 40442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77521920).
40442220 is an abundant number, since it is smaller than the sum of its proper divisors (114601620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40442220 is a wasteful number, since it uses less digits than its factorization.
40442220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 861 (or 853 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 40442220 is about 6359.4197848546. The cubic root of 40442220 is about 343.2508824749.
Adding to 40442220 its reverse (2224404), we get a palindrome (42666624).
It can be divided in two parts, 404 and 42220, that added together give a palindrome (42624).
The spelling of 40442220 in words is "forty million, four hundred forty-two thousand, two hundred twenty".
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