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52866825 = 3521164081
BaseRepresentation
bin1100100110101…
…0111100001001
310200110220122120
43021222330021
5102013214300
65125041453
71211234454
oct311527411
9120426576
1052866825
11279296a0
1215856289
13ac5025b
14704249b
1549943a0
hex326af09

52866825 has 24 divisors (see below), whose sum is σ = 95354016. Its totient is φ = 25632000.

The previous prime is 52866799. The next prime is 52866829.

52866825 = T242 + T243 + ... + T691.

52866825 is nontrivially palindromic in base 10.

52866825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52866825 - 29 = 52866313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52866829) 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 23 ways as a sum of consecutive naturals, for example, 31216 + ... + 32865.

It is an arithmetic number, because the mean of its divisors is an integer number (3973084).

Almost surely, 252866825 is an apocalyptic number.

52866825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52866825 is a deficient number, since it is larger than the sum of its proper divisors (42487191).

52866825 is a wasteful number, since it uses less digits than its factorization.

52866825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64105 (or 64100 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 52866825 is about 7270.9576398161. The cubic root of 52866825 is about 375.3136930735.

It can be divided in two parts, 528 and 66825, that multiplied together give a square (35283600 = 59402).

The spelling of 52866825 in words is "fifty-two million, eight hundred sixty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 64081 192243 320405 704891 961215 1602025 2114673 3524455 4806075 10573365 17622275 52866825