Search a number
-
+
52794756 = 2232721732
BaseRepresentation
bin1100100101100…
…1010110000100
310200100020210100
43021121112010
5102003413011
65123324100
71210514400
oct311312604
9120306710
1052794756
112788a533
1215820630
13ac26501
147024100
15497cd56
hex3259584

52794756 has 81 divisors (see below), whose sum is σ = 156144261. Its totient is φ = 14997024.

The previous prime is 52794743. The next prime is 52794769. The reversal of 52794756 is 65749725.

The square root of 52794756 is 7266.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (52794743) and next prime (52794769).

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 4769856 = 6930^2 + 2184^2 .

It is a super-2 number, since 2×527947562 = 5574572522199072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305086 + ... + 305258.

Almost surely, 252794756 is an apocalyptic number.

52794756 is the 7266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52794756

52794756 is an abundant number, since it is smaller than the sum of its proper divisors (103349505).

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

52794756 is a wasteful number, since it uses less digits than its factorization.

52794756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The cubic root of 52794756 is about 375.1430707418.

The spelling of 52794756 in words is "fifty-two million, seven hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 173 196 252 294 346 441 519 588 692 882 1038 1211 1557 1764 2076 2422 3114 3633 4844 6228 7266 8477 10899 14532 16954 21798 25431 29929 33908 43596 50862 59858 76293 89787 101724 119716 152586 179574 209503 269361 305172 359148 419006 538722 628509 838012 1077444 1257018 1466521 1885527 2514036 2933042 3771054 4399563 5866084 7542108 8799126 13198689 17598252 26397378 52794756