Base | Representation |
---|---|
bin | 1001100011111… |
… | …0111110000000 |
3 | 2210110111002020 |
4 | 2120332332000 |
5 | 40231310213 |
6 | 3551321440 |
7 | 664606503 |
oct | 230767600 |
9 | 83414066 |
10 | 40103808 |
11 | 20701648 |
12 | 11520280 |
13 | 8401b84 |
14 | 547d13a |
15 | 37c2923 |
hex | 263ef80 |
40103808 has 64 divisors (see below), whose sum is σ = 107299920. Its totient is φ = 13271040.
The previous prime is 40103807. The next prime is 40103809. The reversal of 40103808 is 80830104.
40103808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (40103807) and next prime (40103809).
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×401038082 = 3216630832201728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40103803) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 69216 + ... + 69792.
Almost surely, 240103808 is an apocalyptic number.
40103808 is a gapful number since it is divisible by the number (48) 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 40103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53649960).
40103808 is an abundant number, since it is smaller than the sum of its proper divisors (67196112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40103808 is a wasteful number, since it uses less digits than its factorization.
40103808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 775 (or 763 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 40103808 is about 6332.7567456835. The cubic root of 40103808 is about 342.2907824134.
The spelling of 40103808 in words is "forty million, one hundred three thousand, eight hundred eight".
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