Base | Representation |
---|---|
bin | 1100101011110… |
… | …0100001100000 |
3 | 10201002220001010 |
4 | 3022330201200 |
5 | 102104412432 |
6 | 5140140520 |
7 | 1214125635 |
oct | 312744140 |
9 | 121086033 |
10 | 53200992 |
11 | 28037769 |
12 | 15997740 |
13 | b0393a0 |
14 | 70cc18c |
15 | 4a0d3cc |
hex | 32bc860 |
53200992 has 96 divisors (see below), whose sum is σ = 153764352. Its totient is φ = 16003584.
The previous prime is 53200963. The next prime is 53200997. The reversal of 53200992 is 29900235.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53200997) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58203 + ... + 59109.
It is an arithmetic number, because the mean of its divisors is an integer number (1601712).
Almost surely, 253200992 is an apocalyptic number.
53200992 is a gapful number since it is divisible by the number (52) 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 53200992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76882176).
53200992 is an abundant number, since it is smaller than the sum of its proper divisors (100563360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53200992 is a wasteful number, since it uses less digits than its factorization.
53200992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 980 (or 972 counting only the distinct ones).
The product of its (nonzero) digits is 4860, while the sum is 30.
The square root of 53200992 is about 7293.9010138608. The cubic root of 53200992 is about 376.1028087661.
The spelling of 53200992 in words is "fifty-three million, two hundred thousand, nine hundred ninety-two".
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