Base | Representation |
---|---|
bin | 1100100101010… |
… | …1111101100000 |
3 | 10200022112210000 |
4 | 3021111331200 |
5 | 102002442041 |
6 | 5123140000 |
7 | 1210426110 |
oct | 311257540 |
9 | 120275700 |
10 | 52780896 |
11 | 27880083 |
12 | 15814600 |
13 | ac200cc |
14 | 701d040 |
15 | 4978bb6 |
hex | 3255f60 |
52780896 has 120 divisors (see below), whose sum is σ = 177463440. Its totient is φ = 15075072.
The previous prime is 52780891. The next prime is 52780919. The reversal of 52780896 is 69808725.
52780896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (52780891) 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 19 ways as a sum of consecutive naturals, for example, 16690 + ... + 19598.
It is an arithmetic number, because the mean of its divisors is an integer number (1478862).
Almost surely, 252780896 is an apocalyptic number.
52780896 is a gapful number since it is divisible by the number (56) 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 52780896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88731720).
52780896 is an abundant number, since it is smaller than the sum of its proper divisors (124682544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52780896 is a wasteful number, since it uses less digits than its factorization.
52780896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2938 (or 2921 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The square root of 52780896 is about 7265.0461801698. The cubic root of 52780896 is about 375.1102395894.
The spelling of 52780896 in words is "fifty-two million, seven hundred eighty thousand, eight hundred ninety-six".
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