Base | Representation |
---|---|
bin | 1001101111110… |
… | …1000100110000 |
3 | 2211221001012221 |
4 | 2123331010300 |
5 | 40431214410 |
6 | 4020130424 |
7 | 1004331622 |
oct | 233750460 |
9 | 84831187 |
10 | 40882480 |
11 | 21093681 |
12 | 11836a14 |
13 | 8615422 |
14 | 5602c12 |
15 | 38c84da |
hex | 26fd130 |
40882480 has 80 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 15691520.
The previous prime is 40882469. The next prime is 40882483. The reversal of 40882480 is 8428804.
40882480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (40882483) 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 15 ways as a sum of consecutive naturals, for example, 312015 + ... + 312145.
Almost surely, 240882480 is an apocalyptic number.
40882480 is a gapful number since it is divisible by the number (40) 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 40882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).
40882480 is an abundant number, since it is smaller than the sum of its proper divisors (58111184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40882480 is a wasteful number, since it uses less digits than its factorization.
40882480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 274 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 34.
The square root of 40882480 is about 6393.9408818036. The cubic root of 40882480 is about 344.4919498204.
The spelling of 40882480 in words is "forty million, eight hundred eighty-two thousand, four hundred eighty".
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