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52005437 = 112429797
BaseRepresentation
bin1100011001100…
…0101000111101
310121212011001022
43012120220331
5101303133222
65054353525
71201016231
oct306305075
9117764038
1052005437
11273a0500
12154bb8a5
13aa0b163
146c9a5c1
154874042
hex3198a3d

52005437 has 6 divisors (see below), whose sum is σ = 57163134. Its totient is φ = 47277560.

The previous prime is 52005433. The next prime is 52005469. The reversal of 52005437 is 73450025.

52005437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29528356 + 22477081 = 5434^2 + 4741^2 .

It is not a de Polignac number, because 52005437 - 22 = 52005433 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005433) 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 5 ways as a sum of consecutive naturals, for example, 214778 + ... + 215019.

It is an arithmetic number, because the mean of its divisors is an integer number (9527189).

Almost surely, 252005437 is an apocalyptic number.

It is an amenable number.

52005437 is a deficient number, since it is larger than the sum of its proper divisors (5157697).

52005437 is a wasteful number, since it uses less digits than its factorization.

52005437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429819 (or 429808 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 52005437 is about 7211.4795291951. The cubic root of 52005437 is about 373.2641239868.

The spelling of 52005437 in words is "fifty-two million, five thousand, four hundred thirty-seven".

Divisors: 1 11 121 429797 4727767 52005437