Base | Representation |
---|---|
bin | 1001101101111… |
… | …0101100001000 |
3 | 2211200201111110 |
4 | 2123132230020 |
5 | 40413224044 |
6 | 4013330320 |
7 | 1003303026 |
oct | 233365410 |
9 | 84621443 |
10 | 40758024 |
11 | 2100911a |
12 | 117969a0 |
13 | 85a0898 |
14 | 55ad716 |
15 | 38a16b9 |
hex | 26deb08 |
40758024 has 64 divisors (see below), whose sum is σ = 108656640. Its totient is φ = 12710720.
The previous prime is 40757989. The next prime is 40758031. The reversal of 40758024 is 42085704.
40758024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×407580242 = 3322433040769152, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 40757982 and 40758000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25159 + ... + 26729.
It is an arithmetic number, because the mean of its divisors is an integer number (1697760).
Almost surely, 240758024 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 40758024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54328320).
40758024 is an abundant number, since it is smaller than the sum of its proper divisors (67898616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40758024 is a wasteful number, since it uses less digits than its factorization.
40758024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).
The product of its (nonzero) digits is 8960, while the sum is 30.
The square root of 40758024 is about 6384.2011246514. The cubic root of 40758024 is about 344.1420226622.
The spelling of 40758024 in words is "forty million, seven hundred fifty-eight thousand, twenty-four".
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