Search a number
-
+
52073118 = 2343110369
BaseRepresentation
bin1100011010100…
…1001010011110
310121222120220000
43012221022132
5101312314433
65100035130
71201420446
oct306511236
9117876800
1052073118
1127437339
1215532aa6
13aa32bc6
146cb7126
154889113
hex31a929e

52073118 has 40 divisors (see below), whose sum is σ = 120457920. Its totient is φ = 16796160.

The previous prime is 52073117. The next prime is 52073141. The reversal of 52073118 is 81137025.

52073118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52073091 and 52073100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52073113) 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 19 ways as a sum of consecutive naturals, for example, 163 + ... + 10206.

It is an arithmetic number, because the mean of its divisors is an integer number (3011448).

Almost surely, 252073118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52073118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60228960).

52073118 is an abundant number, since it is smaller than the sum of its proper divisors (68384802).

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

52073118 is a wasteful number, since it uses less digits than its factorization.

52073118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 52073118 is about 7216.1705911099. The cubic root of 52073118 is about 373.4259784603.

The spelling of 52073118 in words is "fifty-two million, seventy-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 5022 10369 20738 31107 62214 93321 186642 279963 321439 559926 642878 839889 964317 1679778 1928634 2892951 5785902 8678853 17357706 26036559 52073118