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52345314 = 23272331783
BaseRepresentation
bin1100011110101…
…1100111100010
310122111102021100
43013223213202
5101400022224
65105535230
71203633150
oct307534742
9118442240
1052345314
112760289a
1215644516
13aac9a78
146d483d0
1548deac9
hex31eb9e2

52345314 has 48 divisors (see below), whose sum is σ = 130246272. Its totient is φ = 14883264.

The previous prime is 52345313. The next prime is 52345327. The reversal of 52345314 is 41354325.

52345314 is a `hidden beast` number, since 5 + 2 + 345 + 314 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52345313) 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, 28467 + ... + 30249.

It is an arithmetic number, because the mean of its divisors is an integer number (2713464).

Almost surely, 252345314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52345314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65123136).

52345314 is an abundant number, since it is smaller than the sum of its proper divisors (77900958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52345314 is a wasteful number, since it uses less digits than its factorization.

52345314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2028 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 52345314 is about 7235.0061506539. The cubic root of 52345314 is about 374.0755040255.

Adding to 52345314 its reverse (41354325), we get a palindrome (93699639).

The spelling of 52345314 in words is "fifty-two million, three hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 1398 1631 1783 2097 3262 3566 4194 4893 5349 9786 10698 12481 14679 16047 24962 29358 32094 37443 74886 112329 224658 415439 830878 1246317 2492634 2908073 3738951 5816146 7477902 8724219 17448438 26172657 52345314