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52527105 = 3251816449
BaseRepresentation
bin1100100001100…
…0000000000001
310122211122122100
43020120000001
5101421331410
65113501013
71205321151
oct310300001
9118748570
1052527105
1127717434
1215711769
13ab61737
146d94761
1549288c0
hex3218001

52527105 has 24 divisors (see below), whose sum is σ = 91564200. Its totient is φ = 27855360.

The previous prime is 52527103. The next prime is 52527107. The reversal of 52527105 is 50172525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52527103) and next prime (52527107).

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 48316401 = 2052^2 + 6951^2 .

It is not a de Polignac number, because 52527105 - 21 = 52527103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52527103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4921 + ... + 11369.

It is an arithmetic number, because the mean of its divisors is an integer number (3815175).

It is a Proth number, since it is equal to 1603 ⋅ 215 + 1 and 1603 < 215.

Almost surely, 252527105 is an apocalyptic number.

It is an amenable number.

52527105 is a deficient number, since it is larger than the sum of its proper divisors (39037095).

52527105 is a wasteful number, since it uses less digits than its factorization.

52527105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 52527105 is about 7247.5585544375. The cubic root of 52527105 is about 374.5080482381.

The spelling of 52527105 in words is "fifty-two million, five hundred twenty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 45 181 543 905 1629 2715 6449 8145 19347 32245 58041 96735 290205 1167269 3501807 5836345 10505421 17509035 52527105