Base | Representation |
---|---|
bin | 1100011111000… |
… | …1000110010000 |
3 | 10122112120001200 |
4 | 3013301012100 |
5 | 101401232020 |
6 | 5110231200 |
7 | 1204055454 |
oct | 307610620 |
9 | 118476050 |
10 | 52367760 |
11 | 27618745 |
12 | 15655500 |
13 | ab07053 |
14 | 6d52664 |
15 | 48e6590 |
hex | 31f1190 |
52367760 has 60 divisors (see below), whose sum is σ = 175870812. Its totient is φ = 13964544.
The previous prime is 52367747. The next prime is 52367761. The reversal of 52367760 is 6776325.
It is a happy number.
52367760 is a `hidden beast` number, since 523 + 6 + 77 + 60 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 16941456 = 5952^2 + 4116^2 .
It is a tau number, because it is divible by the number of its divisors (60).
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 (52367761) 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 11 ways as a sum of consecutive naturals, for example, 35647 + ... + 37086.
Almost surely, 252367760 is an apocalyptic number.
It is an amenable number.
52367760 is an abundant number, since it is smaller than the sum of its proper divisors (123503052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52367760 is a wasteful number, since it uses less digits than its factorization.
52367760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72752 (or 72743 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The square root of 52367760 is about 7236.5571924776. The cubic root of 52367760 is about 374.1289650280.
It can be divided in two parts, 5236 and 7760, that added together give a square (12996 = 1142).
The spelling of 52367760 in words is "fifty-two million, three hundred sixty-seven thousand, seven hundred sixty".
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