Base | Representation |
---|---|
bin | 1001101110001… |
… | …1100000110000 |
3 | 2211201201121000 |
4 | 2123203200300 |
5 | 40414342101 |
6 | 4014002000 |
7 | 1003414434 |
oct | 233434060 |
9 | 84651530 |
10 | 40777776 |
11 | 21021a46 |
12 | 117a6300 |
13 | 85a9880 |
14 | 55b69c4 |
15 | 38a7486 |
hex | 26e3830 |
40777776 has 160 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 12220416.
The previous prime is 40777771. The next prime is 40777783. The reversal of 40777776 is 67777704.
It is not an unprimeable number, because it can be changed into a prime (40777771) 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 31 ways as a sum of consecutive naturals, for example, 297580 + ... + 297716.
It is an arithmetic number, because the mean of its divisors is an integer number (808542).
Almost surely, 240777776 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 40777776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).
40777776 is an abundant number, since it is smaller than the sum of its proper divisors (88588944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40777776 is a wasteful number, since it uses less digits than its factorization.
40777776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 208 counting only the distinct ones).
The product of its (nonzero) digits is 403368, while the sum is 45.
The square root of 40777776 is about 6385.7478810238. The cubic root of 40777776 is about 344.1976059543.
The spelling of 40777776 in words is "forty million, seven hundred seventy-seven thousand, seven hundred seventy-six".
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