Search a number
-
+
52255302 = 23112167431
BaseRepresentation
bin1100011101010…
…1101001000110
310122022211210120
43013111221012
5101334132202
65104002410
71203106551
oct307255106
9118284716
1052255302
1127551200
1215600406
13aa97ac8
146d23698
1548c30bc
hex31d5a46

52255302 has 48 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 15703600.

The previous prime is 52255283. The next prime is 52255309. The reversal of 52255302 is 20355225.

52255302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×522553022 = 5461233174222408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52255309) 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, 121027 + ... + 121457.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 252255302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52255302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

52255302 is an abundant number, since it is smaller than the sum of its proper divisors (63575994).

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

52255302 is a wasteful number, since it uses less digits than its factorization.

52255302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 52255302 is about 7228.7828851059. The cubic root of 52255302 is about 373.8609633129.

The spelling of 52255302 in words is "fifty-two million, two hundred fifty-five thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 431 501 726 862 1002 1293 1837 2586 3674 4741 5511 9482 11022 14223 20207 28446 40414 52151 60621 71977 104302 121242 143954 156453 215931 312906 431862 791747 1583494 2375241 4750482 8709217 17418434 26127651 52255302