Base | Representation |
---|---|
bin | 1100101001001… |
… | …1111111101000 |
3 | 10200210110022200 |
4 | 3022103333220 |
5 | 102034104414 |
6 | 5132420200 |
7 | 1212534642 |
oct | 312237750 |
9 | 120713280 |
10 | 53034984 |
11 | 27a33a72 |
12 | 15917660 |
13 | acab962 |
14 | 7087892 |
15 | 49c9109 |
hex | 3293fe8 |
53034984 has 48 divisors (see below), whose sum is σ = 144549600. Its totient is φ = 17565984.
The previous prime is 53034983. The next prime is 53035001. The reversal of 53034984 is 48943035.
53034984 is a `hidden beast` number, since 530 + 3 + 49 + 84 = 666.
53034984 is nontrivially palindromic in base 11.
It is a super-3 number, since 3×530349843 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (53034983) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9477 + ... + 13995.
It is an arithmetic number, because the mean of its divisors is an integer number (3011450).
Almost surely, 253034984 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 53034984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274800).
53034984 is an abundant number, since it is smaller than the sum of its proper divisors (91514616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53034984 is a wasteful number, since it uses less digits than its factorization.
53034984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4694 (or 4687 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 53034984 is about 7282.5122039033. The cubic root of 53034984 is about 375.7112049806.
The spelling of 53034984 in words is "fifty-three million, thirty-four thousand, nine hundred eighty-four".
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