Base | Representation |
---|---|
bin | 1100110111111… |
… | …0101000001000 |
3 | 10202121021122100 |
4 | 3031332220020 |
5 | 102310333130 |
6 | 5205153400 |
7 | 1223646600 |
oct | 315765010 |
9 | 122537570 |
10 | 53996040 |
11 | 2853002a |
12 | 160bb860 |
13 | b257227 |
14 | 7257c00 |
15 | 4b18c60 |
hex | 337ea08 |
53996040 has 144 divisors (see below), whose sum is σ = 204204780. Its totient is φ = 12337920.
The previous prime is 53996021. The next prime is 53996051. The reversal of 53996040 is 4069935.
53996040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 2414916 = 7182^2 + 1554^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 53995986 and 53996004.
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 35 ways as a sum of consecutive naturals, for example, 16110 + ... + 19170.
Almost surely, 253996040 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 53996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102390).
53996040 is an abundant number, since it is smaller than the sum of its proper divisors (150208740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53996040 is a wasteful number, since it uses less digits than its factorization.
53996040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3092 (or 3078 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 53996040 is about 7348.1997795378. The cubic root of 53996040 is about 377.9670753216.
The spelling of 53996040 in words is "fifty-three million, nine hundred ninety-six thousand, forty".
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