Base | Representation |
---|---|
bin | 1100101110110… |
… | …0111001100000 |
3 | 10201110221211210 |
4 | 3023230321200 |
5 | 102132233021 |
6 | 5144310120 |
7 | 1215612420 |
oct | 313547140 |
9 | 121427753 |
10 | 53399136 |
11 | 2816261a |
12 | 15a72340 |
13 | b0a862b |
14 | 7140480 |
15 | 4a4be76 |
hex | 32ece60 |
53399136 has 96 divisors (see below), whose sum is σ = 161360640. Its totient is φ = 15146496.
The previous prime is 53399131. The next prime is 53399141. The reversal of 53399136 is 63199335.
53399136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (53399131) and next prime (53399141).
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 53399094 and 53399103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53399131) 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, 153715 + ... + 154061.
It is an arithmetic number, because the mean of its divisors is an integer number (1680840).
Almost surely, 253399136 is an apocalyptic number.
53399136 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 53399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80680320).
53399136 is an abundant number, since it is smaller than the sum of its proper divisors (107961504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53399136 is a wasteful number, since it uses less digits than its factorization.
53399136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 596 (or 588 counting only the distinct ones).
The product of its digits is 65610, while the sum is 39.
The square root of 53399136 is about 7307.4712452394. The cubic root of 53399136 is about 376.5691546295.
It can be divided in two parts, 53399 and 136, that added together give a palindrome (53535).
The spelling of 53399136 in words is "fifty-three million, three hundred ninety-nine thousand, one hundred thirty-six".
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