Base | Representation |
---|---|
bin | 1100101010110… |
… | …1100000000000 |
3 | 10200222202122000 |
4 | 3022231200000 |
5 | 102100430311 |
6 | 5134544000 |
7 | 1213451346 |
oct | 312554000 |
9 | 120882560 |
10 | 53139456 |
11 | 27aa5507 |
12 | 15968000 |
13 | b017386 |
14 | 70b3996 |
15 | 49ea056 |
hex | 32ad800 |
53139456 has 144 divisors (see below), whose sum is σ = 162653400. Its totient is φ = 17141760.
The previous prime is 53139439. The next prime is 53139481. The reversal of 53139456 is 65493135.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (48600) is a multiple of the sum of its prime divisors (36).
It is a self number, because there is not a number n which added to its sum of digits gives 53139456.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714161 + ... + 1714191.
Almost surely, 253139456 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 53139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81326700).
53139456 is an abundant number, since it is smaller than the sum of its proper divisors (109513944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53139456 is an equidigital number, since it uses as much as digits as its factorization.
53139456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 36 counting only the distinct ones).
The product of its digits is 48600, while the sum is 36.
The square root of 53139456 is about 7289.6814745227. The cubic root of 53139456 is about 375.9577438555.
Multiplying 53139456 by its product of digits (48600), we get a square (2582577561600 = 16070402).
The spelling of 53139456 in words is "fifty-three million, one hundred thirty-nine thousand, four hundred fifty-six".
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