Base | Representation |
---|---|
bin | 1001101000110… |
… | …0110010100100 |
3 | 2211001200100000 |
4 | 2122030302210 |
5 | 40322010224 |
6 | 4002221300 |
7 | 1000405020 |
oct | 232146244 |
9 | 84050300 |
10 | 40422564 |
11 | 208aa086 |
12 | 11654830 |
13 | 84b3ca0 |
14 | 5523380 |
15 | 38370c9 |
hex | 268cca4 |
40422564 has 144 divisors (see below), whose sum is σ = 130702208. Its totient is φ = 10637568.
The previous prime is 40422563. The next prime is 40422587. The reversal of 40422564 is 46522404.
40422564 is a `hidden beast` number, since 404 + 2 + 256 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (40422563) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 88224 + ... + 88680.
Almost surely, 240422564 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 40422564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351104).
40422564 is an abundant number, since it is smaller than the sum of its proper divisors (90279644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40422564 is a wasteful number, since it uses less digits than its factorization.
40422564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 496 (or 482 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 40422564 is about 6357.8741730236. The cubic root of 40422564 is about 343.1952637617.
Adding to 40422564 its reverse (46522404), we get a palindrome (86944968).
The spelling of 40422564 in words is "forty million, four hundred twenty-two thousand, five hundred sixty-four".
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